{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "ename": "KeyError",
     "evalue": "'inline#seaborn是基于matplotlib'",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mKeyError\u001b[0m                                  Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-2-2e0ecdbaf437>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[0;32m      6\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0mseaborn\u001b[0m \u001b[1;32mas\u001b[0m \u001b[0msns\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      7\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 8\u001b[1;33m \u001b[0mget_ipython\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mrun_line_magic\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'matplotlib'\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;34m'inline#seaborn是基于matplotlib'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[1;32mD:\\Anaconda\\lib\\site-packages\\IPython\\core\\interactiveshell.py\u001b[0m in \u001b[0;36mrun_line_magic\u001b[1;34m(self, magic_name, line, _stack_depth)\u001b[0m\n\u001b[0;32m   2093\u001b[0m                 \u001b[0mkwargs\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;34m'local_ns'\u001b[0m\u001b[1;33m]\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0msys\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_getframe\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mstack_depth\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mf_locals\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   2094\u001b[0m             \u001b[1;32mwith\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mbuiltin_trap\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m-> 2095\u001b[1;33m                 \u001b[0mresult\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mfn\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m*\u001b[0m\u001b[0margs\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m   2096\u001b[0m             \u001b[1;32mreturn\u001b[0m \u001b[0mresult\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   2097\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32m<decorator-gen-108>\u001b[0m in \u001b[0;36mmatplotlib\u001b[1;34m(self, line)\u001b[0m\n",
      "\u001b[1;32mD:\\Anaconda\\lib\\site-packages\\IPython\\core\\magic.py\u001b[0m in \u001b[0;36m<lambda>\u001b[1;34m(f, *a, **k)\u001b[0m\n\u001b[0;32m    185\u001b[0m     \u001b[1;31m# but it's overkill for just that one bit of state.\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    186\u001b[0m     \u001b[1;32mdef\u001b[0m \u001b[0mmagic_deco\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0marg\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 187\u001b[1;33m         \u001b[0mcall\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;32mlambda\u001b[0m \u001b[0mf\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m*\u001b[0m\u001b[0ma\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m**\u001b[0m\u001b[0mk\u001b[0m\u001b[1;33m:\u001b[0m \u001b[0mf\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m*\u001b[0m\u001b[0ma\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m**\u001b[0m\u001b[0mk\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    188\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    189\u001b[0m         \u001b[1;32mif\u001b[0m \u001b[0mcallable\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0marg\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mD:\\Anaconda\\lib\\site-packages\\IPython\\core\\magics\\pylab.py\u001b[0m in \u001b[0;36mmatplotlib\u001b[1;34m(self, line)\u001b[0m\n\u001b[0;32m     97\u001b[0m             \u001b[0mprint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m\"Available matplotlib backends: %s\"\u001b[0m \u001b[1;33m%\u001b[0m \u001b[0mbackends_list\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     98\u001b[0m         \u001b[1;32melse\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 99\u001b[1;33m             \u001b[0mgui\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mbackend\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mshell\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0menable_matplotlib\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0margs\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mgui\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    100\u001b[0m             \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_show_matplotlib_backend\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0margs\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mgui\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mbackend\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    101\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mD:\\Anaconda\\lib\\site-packages\\IPython\\core\\interactiveshell.py\u001b[0m in \u001b[0;36menable_matplotlib\u001b[1;34m(self, gui)\u001b[0m\n\u001b[0;32m   2964\u001b[0m         \"\"\"\n\u001b[0;32m   2965\u001b[0m         \u001b[1;32mfrom\u001b[0m \u001b[0mIPython\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mcore\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0mpylabtools\u001b[0m \u001b[1;32mas\u001b[0m \u001b[0mpt\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m-> 2966\u001b[1;33m         \u001b[0mgui\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mbackend\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mpt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mfind_gui_and_backend\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mgui\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mpylab_gui_select\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m   2967\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   2968\u001b[0m         \u001b[1;32mif\u001b[0m \u001b[0mgui\u001b[0m \u001b[1;33m!=\u001b[0m \u001b[1;34m'inline'\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mD:\\Anaconda\\lib\\site-packages\\IPython\\core\\pylabtools.py\u001b[0m in \u001b[0;36mfind_gui_and_backend\u001b[1;34m(gui, gui_select)\u001b[0m\n\u001b[0;32m    272\u001b[0m     \u001b[1;32mif\u001b[0m \u001b[0mgui\u001b[0m \u001b[1;32mand\u001b[0m \u001b[0mgui\u001b[0m \u001b[1;33m!=\u001b[0m \u001b[1;34m'auto'\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    273\u001b[0m         \u001b[1;31m# select backend based on requested gui\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 274\u001b[1;33m         \u001b[0mbackend\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mbackends\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mgui\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    275\u001b[0m         \u001b[1;32mif\u001b[0m \u001b[0mgui\u001b[0m \u001b[1;33m==\u001b[0m \u001b[1;34m'agg'\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    276\u001b[0m             \u001b[0mgui\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;32mNone\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mKeyError\u001b[0m: 'inline#seaborn是基于matplotlib'"
     ]
    }
   ],
   "source": [
    "#导入所需要的包\n",
    "import numpy as np # linear algebra\n",
    "import pandas as pd # data processing, CSV file I/O\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "%matplotlib inline#seaborn是基于matplotlib"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>instant</th>\n",
       "      <th>dteday</th>\n",
       "      <th>season</th>\n",
       "      <th>yr</th>\n",
       "      <th>mnth</th>\n",
       "      <th>holiday</th>\n",
       "      <th>weekday</th>\n",
       "      <th>workingday</th>\n",
       "      <th>weathersit</th>\n",
       "      <th>temp</th>\n",
       "      <th>atemp</th>\n",
       "      <th>hum</th>\n",
       "      <th>windspeed</th>\n",
       "      <th>casual</th>\n",
       "      <th>registered</th>\n",
       "      <th>cnt</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>2011-01-01</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>0.344167</td>\n",
       "      <td>0.363625</td>\n",
       "      <td>0.805833</td>\n",
       "      <td>0.160446</td>\n",
       "      <td>331</td>\n",
       "      <td>654</td>\n",
       "      <td>985</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>2011-01-02</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>0.363478</td>\n",
       "      <td>0.353739</td>\n",
       "      <td>0.696087</td>\n",
       "      <td>0.248539</td>\n",
       "      <td>131</td>\n",
       "      <td>670</td>\n",
       "      <td>801</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>2011-01-03</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.196364</td>\n",
       "      <td>0.189405</td>\n",
       "      <td>0.437273</td>\n",
       "      <td>0.248309</td>\n",
       "      <td>120</td>\n",
       "      <td>1229</td>\n",
       "      <td>1349</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>2011-01-04</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.200000</td>\n",
       "      <td>0.212122</td>\n",
       "      <td>0.590435</td>\n",
       "      <td>0.160296</td>\n",
       "      <td>108</td>\n",
       "      <td>1454</td>\n",
       "      <td>1562</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>2011-01-05</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.226957</td>\n",
       "      <td>0.229270</td>\n",
       "      <td>0.436957</td>\n",
       "      <td>0.186900</td>\n",
       "      <td>82</td>\n",
       "      <td>1518</td>\n",
       "      <td>1600</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   instant      dteday  season  yr  mnth  holiday  weekday  workingday  \\\n",
       "0        1  2011-01-01       1   0     1        0        6           0   \n",
       "1        2  2011-01-02       1   0     1        0        0           0   \n",
       "2        3  2011-01-03       1   0     1        0        1           1   \n",
       "3        4  2011-01-04       1   0     1        0        2           1   \n",
       "4        5  2011-01-05       1   0     1        0        3           1   \n",
       "\n",
       "   weathersit      temp     atemp       hum  windspeed  casual  registered  \\\n",
       "0           2  0.344167  0.363625  0.805833   0.160446     331         654   \n",
       "1           2  0.363478  0.353739  0.696087   0.248539     131         670   \n",
       "2           1  0.196364  0.189405  0.437273   0.248309     120        1229   \n",
       "3           1  0.200000  0.212122  0.590435   0.160296     108        1454   \n",
       "4           1  0.226957  0.229270  0.436957   0.186900      82        1518   \n",
       "\n",
       "    cnt  \n",
       "0   985  \n",
       "1   801  \n",
       "2  1349  \n",
       "3  1562  \n",
       "4  1600  "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#读取数据\n",
    "data = pd.read_csv(\"day.csv\")\n",
    "data.head()\n",
    "#打印出数据的前五行，对数据特征有一个大致的了解"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 731 entries, 0 to 730\n",
      "Data columns (total 16 columns):\n",
      "instant       731 non-null int64\n",
      "dteday        731 non-null object\n",
      "season        731 non-null int64\n",
      "yr            731 non-null int64\n",
      "mnth          731 non-null int64\n",
      "holiday       731 non-null int64\n",
      "weekday       731 non-null int64\n",
      "workingday    731 non-null int64\n",
      "weathersit    731 non-null int64\n",
      "temp          731 non-null float64\n",
      "atemp         731 non-null float64\n",
      "hum           731 non-null float64\n",
      "windspeed     731 non-null float64\n",
      "casual        731 non-null int64\n",
      "registered    731 non-null int64\n",
      "cnt           731 non-null int64\n",
      "dtypes: float64(4), int64(11), object(1)\n",
      "memory usage: 91.5+ KB\n"
     ]
    }
   ],
   "source": [
    "#查看数据相关信息\n",
    "data.info()\n",
    "#从数据信息可以发现，每个样本都没有缺失值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "instant       0\n",
       "dteday        0\n",
       "season        0\n",
       "yr            0\n",
       "mnth          0\n",
       "holiday       0\n",
       "weekday       0\n",
       "workingday    0\n",
       "weathersit    0\n",
       "temp          0\n",
       "atemp         0\n",
       "hum           0\n",
       "windspeed     0\n",
       "casual        0\n",
       "registered    0\n",
       "cnt           0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#查看是否有空值\n",
    "data.isnull().sum()\n",
    "#可以看出各个数据都没有空值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>instant</th>\n",
       "      <th>season</th>\n",
       "      <th>yr</th>\n",
       "      <th>mnth</th>\n",
       "      <th>holiday</th>\n",
       "      <th>weekday</th>\n",
       "      <th>workingday</th>\n",
       "      <th>weathersit</th>\n",
       "      <th>temp</th>\n",
       "      <th>atemp</th>\n",
       "      <th>hum</th>\n",
       "      <th>windspeed</th>\n",
       "      <th>casual</th>\n",
       "      <th>registered</th>\n",
       "      <th>cnt</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>366.000000</td>\n",
       "      <td>2.496580</td>\n",
       "      <td>0.500684</td>\n",
       "      <td>6.519836</td>\n",
       "      <td>0.028728</td>\n",
       "      <td>2.997264</td>\n",
       "      <td>0.683995</td>\n",
       "      <td>1.395349</td>\n",
       "      <td>0.495385</td>\n",
       "      <td>0.474354</td>\n",
       "      <td>0.627894</td>\n",
       "      <td>0.190486</td>\n",
       "      <td>848.176471</td>\n",
       "      <td>3656.172367</td>\n",
       "      <td>4504.348837</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>211.165812</td>\n",
       "      <td>1.110807</td>\n",
       "      <td>0.500342</td>\n",
       "      <td>3.451913</td>\n",
       "      <td>0.167155</td>\n",
       "      <td>2.004787</td>\n",
       "      <td>0.465233</td>\n",
       "      <td>0.544894</td>\n",
       "      <td>0.183051</td>\n",
       "      <td>0.162961</td>\n",
       "      <td>0.142429</td>\n",
       "      <td>0.077498</td>\n",
       "      <td>686.622488</td>\n",
       "      <td>1560.256377</td>\n",
       "      <td>1937.211452</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.059130</td>\n",
       "      <td>0.079070</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.022392</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>20.000000</td>\n",
       "      <td>22.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>183.500000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.337083</td>\n",
       "      <td>0.337842</td>\n",
       "      <td>0.520000</td>\n",
       "      <td>0.134950</td>\n",
       "      <td>315.500000</td>\n",
       "      <td>2497.000000</td>\n",
       "      <td>3152.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>366.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>7.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.498333</td>\n",
       "      <td>0.486733</td>\n",
       "      <td>0.626667</td>\n",
       "      <td>0.180975</td>\n",
       "      <td>713.000000</td>\n",
       "      <td>3662.000000</td>\n",
       "      <td>4548.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>548.500000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>10.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>0.655417</td>\n",
       "      <td>0.608602</td>\n",
       "      <td>0.730209</td>\n",
       "      <td>0.233214</td>\n",
       "      <td>1096.000000</td>\n",
       "      <td>4776.500000</td>\n",
       "      <td>5956.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>731.000000</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>12.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>6.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>0.861667</td>\n",
       "      <td>0.840896</td>\n",
       "      <td>0.972500</td>\n",
       "      <td>0.507463</td>\n",
       "      <td>3410.000000</td>\n",
       "      <td>6946.000000</td>\n",
       "      <td>8714.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          instant      season          yr        mnth     holiday     weekday  \\\n",
       "count  731.000000  731.000000  731.000000  731.000000  731.000000  731.000000   \n",
       "mean   366.000000    2.496580    0.500684    6.519836    0.028728    2.997264   \n",
       "std    211.165812    1.110807    0.500342    3.451913    0.167155    2.004787   \n",
       "min      1.000000    1.000000    0.000000    1.000000    0.000000    0.000000   \n",
       "25%    183.500000    2.000000    0.000000    4.000000    0.000000    1.000000   \n",
       "50%    366.000000    3.000000    1.000000    7.000000    0.000000    3.000000   \n",
       "75%    548.500000    3.000000    1.000000   10.000000    0.000000    5.000000   \n",
       "max    731.000000    4.000000    1.000000   12.000000    1.000000    6.000000   \n",
       "\n",
       "       workingday  weathersit        temp       atemp         hum   windspeed  \\\n",
       "count  731.000000  731.000000  731.000000  731.000000  731.000000  731.000000   \n",
       "mean     0.683995    1.395349    0.495385    0.474354    0.627894    0.190486   \n",
       "std      0.465233    0.544894    0.183051    0.162961    0.142429    0.077498   \n",
       "min      0.000000    1.000000    0.059130    0.079070    0.000000    0.022392   \n",
       "25%      0.000000    1.000000    0.337083    0.337842    0.520000    0.134950   \n",
       "50%      1.000000    1.000000    0.498333    0.486733    0.626667    0.180975   \n",
       "75%      1.000000    2.000000    0.655417    0.608602    0.730209    0.233214   \n",
       "max      1.000000    3.000000    0.861667    0.840896    0.972500    0.507463   \n",
       "\n",
       "            casual   registered          cnt  \n",
       "count   731.000000   731.000000   731.000000  \n",
       "mean    848.176471  3656.172367  4504.348837  \n",
       "std     686.622488  1560.256377  1937.211452  \n",
       "min       2.000000    20.000000    22.000000  \n",
       "25%     315.500000  2497.000000  3152.000000  \n",
       "50%     713.000000  3662.000000  4548.000000  \n",
       "75%    1096.000000  4776.500000  5956.000000  \n",
       "max    3410.000000  6946.000000  8714.000000  "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#各属性的统计特性\n",
    "data.describe()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "从数据中可以看出，当前数据并未出现异常，平均值、方差等相关数据值都在理论范围之内"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c5a1810748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#目标总租车人数的分布直方图\n",
    "fig = plt.figure()\n",
    "sns.distplot(data.cnt.values, bins=50, kde=True)\n",
    "plt.xlabel('Median value of cnt', fontsize=10)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "根据直方图可以看出，租车人数基本呈正态分布。就造成两边凸起的原因，初步分析是因为所分析数据为两年，但是两年的数据因为与数据无关的变量未加入数据而造成的"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c5a1930d30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 单个特征散点图\n",
    "plt.scatter(range(data.shape[0]), data[\"cnt\"].values,color='blue')\n",
    "plt.title(\"Distribution of Amount\");"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "因为分析的是两年的数据，所以我们一分为二来看。从散点图中可以看出，两年的租车人数都是随着时间的增加先增加后减少，于是可以初步判定租车人数与季节气候哟很大关系"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "#删除2012年的数据\n",
    "data = data[data.instant < 366]"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "我们从上述分析中可以看出，2011和2012年的各数据间相关性基本一致，所以我们接下来仅对2011年的数据进行数据探索"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(365, 16)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#查看数据是否删除成功\n",
    "data.shape"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "各属性统计特征"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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xrvQwTjFpzqqqXyRZzaAgPg8cBNwLfKMbuwD4MwYXfLkMOJnBX8QHVNVdAEkuBW4G3gyc0b3vm6c/oyuFy4G1DErnoqr6QZINwNpNTOfcXFVv7B5/LcnBwCuB93ZjfzNKjs4VVXXiUJ5XA/dV1clD66zYzJ/R9UkeANY79aSZcgtCc93FdFsQwPO75e9sNPbD7poMLwIuBO5NsiDJAgb/Ol8NLJ5+wyRHJLksyT3ABgblAPD7I2b6+kbL1zO4tsC0kXJ0Nv7X/jXA45Ock+TFSXYeMZM0YxaE5rqLgGd2+xyex6AgLgYWJ9lpaAxgIfAaBtNSw7cXAvsAJPkTYDmDUng9gymZg7rX7zRipp9ttPyrjV67xRxD7hheqKqbgCUMpr1WAHcm+UySqRGzSSNziklz3aVAGBxyehDwt8B1wP3AYcCzGewHgMF1vpcD72q8z33d/SuA9cBrqjvVcZKnbOPMo+SY9lunW66qC4ALkjyewX6SDwOnA8du45ya5ywIzWlVdXeSaxnM6z8I/KCqKsklDH6rsIDBDmGAlQx2CF+3mcNFHw38uh5+HvzXNtbbeKtgJkbJsUVVdQ/wme4IpuduZtXfJavmMaeYtD24iMG+hsuq6sFu7OJu7EdV9ZNu7IPAIxkckfQXSV6Q5JjuMNTjunUuBPZN8uEkhyX5R2Bp4zNvBF6a5JAki5PsMoO8o+RoSnJCkrOTHJvk+d3FpI5mcFTTptwIPC/JS7qsT5xBVs1jFoS2B9P7GC5qjE1vPVBVdzKYhroR+BCDncnvBR4PXN2ts4LBNNWrGEwDvQD488Znngw8wGAn8vcZHF47klFybMbVwBSDkvk68A/Ax7vMm/KvwA3AeV3Wl42aVfObV5STJDW5BSFJarIgJElNFoQkqcmCkCQ1WRCSpCYLQpLUZEFIkposCElSkwUhSWr6f6+zDgSdPdpQAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c5a19a4c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#天气（离散型特征）\n",
    "sns.countplot(data.weathersit);\n",
    "plt.xlabel('weathersit', fontsize=15);"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "就直方图可以看出当地天气基本以晴天和阴天为主（其中晴天更多），偶尔有小雨或小雪，没有遇到大雨、大雪或大雾天气"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c5a1a35780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#温度、体感温度、湿度和风速（连续性特征）\n",
    "fig = plt.figure()\n",
    "sns.distplot(data.temp.values, bins=20, kde=False)\n",
    "plt.xlabel('temperature', fontsize=15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c5a1ae08d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(data.atemp.values, bins=20, kde=False)\n",
    "plt.xlabel('sendible temperature', fontsize=15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "从上述温度和体感温度直方图可以看出，当地温度多为10以上，气温相对适宜，大部分情况下都可以骑单车出行"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c5a19e7be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(data.atemp.values, bins=20, kde=False)\n",
    "plt.xlabel('humidity', fontsize=15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c5a1bfeb70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(data.atemp.values, bins=20, kde=False)\n",
    "plt.xlabel('windspeed', fontsize=15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "从上述两个直方图可以看出，湿度和风速的数据也相对集中，适宜骑单车出行"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "两两特征间的相关性"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Calculates pearson co-efficient for all combinations，通常认为相关系数大于0.5的为强相关\n",
    "data_corr = data.corr().abs()\n",
    "#计算相关系数\n",
    "\n",
    "#取名，以备后用\n",
    "cols = data_corr.columns"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "这里遇到了一点问题，发现赋值cols会对后面热图和打印数据的一致性造成影响。如果按波士顿案例先执行cols=data.columns,会造成热图、打印数据和散点图的不一致。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(15, 15)"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_corr.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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bvNWa41bInFrqjA4COpZwpFylshzYfiiTMj1G6l/QFuvLjO1F4Jj5KYoVqOWBZjRyyLMvR+r1x/U9P/KUckpRLtOlmtlyfdVxPTg99rcUxV4Y+jqXZq/DcD9rR9yeG7lomtzzdDe5A5qmBQEopY5hmsq2D4gB5iil1gBp/cWsppQaDxQGCgAbkqxboZluhh6glErXJ0nTtNnAbIC4m5eyd76BFTgVyktY9L2E59dv30+YBvfI30cuMeutpgDULFWch/EGou4/xLGAfUKZcsUdyGtrw4XwKKq6Ze/ZU5E5QoLDcHdPHFlxdXMhNCzcskyIqUxISBh6vZ5ChQoSGRllUebcvxe5d+8+Vaq8wEv1a/OqTwtaeTfF3j4PBQsW4Jdfp9C3z6BnzhsUHIp7ycS8bm7OhIaEpSzj7kJwcCh6vR6HQoVS5E3Nj7MmceHCZWbM+PWZcwYHheLu7pokpwshoddTlCnp7pqY06EQkZG3zPkttw0NuY6vXyt8fb1o3bo59vZ5KFSoIAvmT6dnr48ICg7l77/XALBixTrm/DLlucr+SOvWzTh69CTh4TfJKlFhkRR2Tfw+cnBxJDr8VopyFRtWo9WADvzQeSyG2PiE5ZtmrmDTTNNBcPdpH3LjcmiKbbNSdIr8RbmdSv5Hjq/eS4fxfdJcnxUiwyJwdE286YSjiyNR4ZEpylVpWAO/AR2Z0PkL4s11XP7FirxQtzLNe7TGPp89NrY2xNyP4Y9JKQ82Mz1zklEVR5eiRF1Pmblqwxq0HfA6EzolZq7w4gtUrFuZFj1aY5/fnPleDMuyOPON0BsUdymR8Ly4c3FuhmWsQ9bMrwk71+/GEJ/1Jy0fhkZgl+RmJHYujsQmqWN9gbzkq1SKqsvHmdYXL0zl+Z9yptdEinV4haitx9DiDcRF3Ob2wbMUqFmeh1evp3idzBQTEkneJJ83e5eixIQlft5sCthT6IWSNFg+CoA8xR2ot2AIB3p+S+FaHrj4vkSVL7piWygfmlHD+DCOwLn/ZGlm8eyep5GhpF1pA2CjaVo8UA/4C9N1QuvT2HY+MEDTtOrAWMA+ybqk+5ULWlJR1a0oVyPvEHzrLnHxBjacvEKTSpYXDLo45GP/JdOX0KUb0cTGGymSPw/Bt+4m3DAhJOoeVyLu4Fo4f4rXEDnD4cMnKFe+DKVLu2Nra0vH131Zu2aTRZm1azbzZreOALTv8Crbt+8FoHRp94QbJpQs6UqFiuW4cjWIsaMnU7liQ6pXaUzvnh+xY/veTOkIgWkkysOjLGXKlMTW1pZOndrh77/Rooy//0Z69HgDgI6v+bBt2+4n7nfsmKE4OBRi8ODRmZLz4KFjFjk7d2qHv7/lH0h//38Sc3b0Yas5p7//P3Tu1A47OzvKlCmJh0dZDhw8ysiREylbrg4VKr5Mt+7vs3Xrbnr2+giAVavW06yp6VqCxo3rc/78pecq+yOdO7fP0ilyANeOX6R4GWcc3Yujt9VTy68BpzdaTslxq1qGNyb0Zc47k7kbcTthudIp8hUuAIBLpVK4VirFvztPZGne5IKOX6RoGWeKmPPX9KvPmWT5i5ZJnHpYqXktbgaGJd9Nlrp8/AJOZVwo5l4Cva0NL/k14uhGy5GHUlXL0nvCe0x9ZyJ3ktTxzwOnMahhP4Y06s/vExaye/n2LO8IAVw6fgHnsi4UL2nK/LJfI45sPGhRpnTVsvT+uh/f9/ma2xGJNxX68eOpfNLgPQY16seSrxawa/m2LO8IAfx7/F/cy7rhXNIZG1sbmrdryp6NGbsPVYt2zdm8MuunyAHcPXaBvGVdyFOyBMrWhmLtGhG5IbFdGO7c52DV3hyp158j9fpz58g5zvSayL3jF4kNvolDw2oA6PLmoWDtijy4kDXXFSYVdewi+cs5k7dUcZStHtf29Qn7J/HzFn/nARuqvsvmuh+xue5H3DpygQM9vyX6+CX2tB+bsPzSL+s4P31F7u4IGY2Z/7CS52lkKAWlVAEgn6Zpa5VS+4AL5lV3gKRXmxcEQpVStkA34EmfmOTbZ5uhoydy8OgJoqJu06J9d97v04OOyS5Gzm42eh2f+tSh/8KtGI0a7V4sh0eJwszafIIqbo40reTOoNYvMm7lfhbvOQsKxnZ4GaUUR6/cYO7OAGz0Cp1SjPCtQ5H89k9+UWHheWkXBoOBoYPH8PfKBej1OhYt/IOzZ87z+ciBHDlyknVrN7NwwVJmz5nCsRNbuHUrmt49TQfg9RvU4ZNB/YiLj8doNDJo4CgiI9I+g51ZeQcO/II1/ovR6XUsmL+UgDPnGD1qCIePHMfffyPz5v3O/HnTCAjYxa3IKLr3eD9h+3P/7qVQoYLY2dnS1s8bH5+u3L5zlxEjPubs2fMc2G86/zLrx/nMm/f0U2YNBgMfDxzJmjX/Q6/TMX/BUgICzjF69BAOHzblnDvvd+bPn86ZgF3cuhVFt+6mnAEB5/jjz9WcOL6VeIOBjz7+/InXXn3zzUwWLviBjz/uy92793mv39DnLnvevPa0bNGY998f/tTZ0sNoMPLXqHm8t/AzdHod+5dtJex8EK0/eYNrJy9xetNh2o7oRp58eeg1ayAAt4Jv8mvfb9Hb2vDhH2MAiLn7gN8++SHbp8kZDUZWjppPn4Uj0Ol1HFy2jevng2j1yesEnbzMmU2HadDTiwoNq2OIj+dB9D2WDf4x2zMuGjWHoQu/QKfXsWPZFoLPX6PDJ10IPHmBo5sO0WXEW+TJZ88HswYDEBl8k6l9Jz5hz1mbeeGoOQxdOMqceTPB56/x2qAuXD5xkaObDtLls7ewz2fPh7OGABARcpPv3/naapkNBiPTvpjB5MUT0el0rFu6nsBzV+g9pCf/Hj/Hno17eaHmC4yfM4YCDgWo36o+vQb1pHcL062/nd2dKO5anON7s6lDbzBy6bM5VFnyBUqv4/rvW3hw7holh3bh7vEL3Pon7al6ofPW4zH1Azy3TQUF4b9v5f6ZK1keWTMYOfXZfF5eMgKl13FtyTbu/hvEC8NeJ+rYZa7/k8V34MtBNCtOa8tsKj1z57PsxZW6q2laAaVUU2CIpmm+5uU/AIcwTXdbiWmkRwHfapq2QCnVEPgF06jP64AXMAy4ApwECmqa1kspNR/w1zTtz2SvZ4tplKkYMD+164YeyYnT5OI3L7J2hAzL2zlzzsBnl7ibT3+m3RqKlm5p7QgZFhMf++RCzxlrfp/+VwxwfeXJhZ4jdjlwQkIYOe+zZ8xhn71rhttPLvScmWBwsHaEDIvQ7KwdIcP8wpbkiC+Nhxf3ZfqHLk/5l63y3q06MqRpWgHzf7cB25IsH5CkmOW9Lk3rd2N5a+0fzY/k5Xql8XpxQIunDi6EEEIIIcR/lRWntWW25+maISGEEEIIIYTINs/1NUNCCCGEEEKI50wuumZIRoaEEEIIIYQQ/0kyMiSEEEIIIYRIP2PW/1ZVdpHOkBBCCCGEECL9ZJqcEEIIIYQQQuRsMjIkhBBCCCGESD+5tbYQQgghhBBC5GwyMpQL2bToYe0IuV78lt+sHSFD7sc9tHaEDNOpHPEj3DlaPjt7a0fIsAqGnPdnyzbTf6c9a4XnvCqGHPZ9Uc6msLUjZJi78y1rR8iwonftrB0h98pF1wzlxK+8bBW/eZG1I2SIdISEEOL5kdM6QkIIkS4yTU4IIYQQQgghcjYZGRJCCCGEEEKkm6blnt8ZkpEhIYQQQgghxH+SjAwJIYQQQggh0k9uoCCEEEIIIYT4T5IbKAghhBBCCCFEziYjQ0IIIYQQQoj0y0XT5GRkSAghhBBCCPGfJCNDQgghhBBCiPQz5p5ba0tnKAvsPh/CN2sPY9Q0OrxYnrcbV7VYHxp1jy+W7+VOTBxGTeOjVjV5paIbJ4Nu8uWqA6ZCGvRrVp3mVUpa4R1YGjlhCjt2H8CxSGFW/PaTtePkWLvPh/DNmkOmdlHbI+128SDW1C68PBPbxcpH7UKjX/Maz9wuvL2aMmXKOPQ6HXPnLeGbyTMt1tvZ2TF/3jRerFWdyMhbvNmtP1euBAEwfNgAevfqgsFo5JNPvuCfjdsfu8+FC2ZQu3ZN4uLiOHjwGP3fH058fDwvvFCeX3/5nlq1qvHFqElM+f7np3ovXl5NmfLdWHR6PfPmLmHytynfy7y5U6n1Yg0iI27RrbvpvTg6Fub3JbOpU6cmCxf9wcCBIwHIm9eeJUt+pny50hgMBtas2cTnI79+qmwpciapn8mp1Pm8JHXeNUmdD0tW5xs3bqdixfL8b/GPCduXLVuKsWO/ZfqMOXTs6MsXXwyicqUKNGjgw+EjJ54pe4uWjZn0zRfo9XoWLljK91Ms/1/Z2dnx8y/f4ulZjcjIW/Tu+RFXrwbzYu0aTJvxFQBKKSZOmI7/6n8AcHAoyIyZX1O5SkU0TeOD/p9y8MDRZ8qZlpJNa9BoTA90eh0BS7ZxdNZqi/VVuzenWs9WaAYjcfdi2Pbpr9w6H0KF9g2o1c8noVzRyiVZ9upIIgKuZknOpNyb1qD+2B4ovY5/l2zj+EzLzJW7N6dKr8TMO4f/StT5EJSNnsaT36FY9TIovY7zf+5KsW1WqNbEk66j3kan17Fj6WbW/vi3xXqvPn407tICY7yRO5HRzB02i4jgGwD8enEZQf+a6jQi+CbT+07M8rwA1Zt40s2cefvSzaxJltm7jx9NzJlvR0bza5LMAPYF8jJx0zQObzjAotFzsiWzqZ57o/Q6di7dzNofV1is9+rjS+MuLTDEG7kTeZt5w2YSEXwTgDkXl1rU84y+k7I8r339uhQZ8gHodNxbsZbbC363WJ/f15vCH7+LIdyU8c6yldxbuZY8tT0pMqh/QjnbMqW4+dl4HmzfneWZ8zWqjdPn/UCnI/rP9UT+8ofF+kIdWlJ86DvEXzdljlq8mug/NySs1+XPR5m1P3N30x7Cv/yRXCsXTZOTzlAmMxiNfO1/iJ96NsepUF66/byBJpXcKV/CIaHML9tP4VWtNJ3qVeBieDQDftvGukFueJQozP/ea42NXseNOw/oNGstjV9ww0Zv3dmM7du0omvHtnz25bdWzZGTGYxGvl59kJ96NcepUD66/bQ+jXZRik71KpraxaKtrBtsbhf9krSLmWueqV3odDqmT/uK1m3eJCgolH1717La/x/OnDmfUObt3m9y61Y0lao0olOntnw94XO6dutP5coV6NSpHTU8m+Pq6sSGdb9TueorAGnuc8mSv3mr54cA/LZoJn3e7srPsxcSGRnFwE++oF271k9drzqdjmnTxtOmTVeCgkLZu2cN/v7/cOZs4nvp3bsLt6KiqVKlEZ3eaMuErz6jW/f3iYl5yJixk6la9QWqVq1ksd/vv/+Z7dv3YGtry4b1v+Pt3YwNG7Y+U87p077i1ST1459KnUfdiqayuc4nTPicbuY679ypHTXNdb5+3e9UqfoK585dpE5dr4T9Xwk8zIqV6wA4ffosnTr1ZdbMZz+o1Ol0fDdlDO3b9iQ4OIytO/5m7drN/Hv2QkKZt3q+QVRUNLVqNqfj676M/XI4vXt+xJmAczR9pT0GgwEnp+Ls3reGdWs3YzAYmPjNKDZt3MFb3Qdga2tLvnz2z5w1NUqnaDy+J6u7TuRuaCSv+48jcONhbp0PSShzbsVeTv+2BYAyrV6k4aju+Pf4hvMr9nB+xR4AHCu58+qcQdnSEVI6RcPxPVnbdSL3QiNpv2YcV/45TFSSzBdW7OWMOXOpVi/y8ujurO/+DeV866G3s+GvliPQ29vxxtZJXFy5l7tBN7Mwr44e4/rybfdxRIZFMGrVJI5tPEjIhaCEMlcDLjPObxixMbE06+5NpxE9+HHAFABiY2IZ3WZIluVLK/Nb4/ryjTnzmFWTOJos85WAy4wxZ27e3ZvOI3owy5wZoOPgNzm7PyBbM3cf9w7fdR9HZFgko1ZN5NjGQ6nU83BiY2Jp2t2LN0b04KcB3wOmeh7TZmi25UWno8jwjwj/YBiG6zdwXjiL+zv2En/5ikWx+xu3ceubGRbLHh4+Rli390y7KVQQl78XErPvULZkdhr1AUFvf0bc9ZuU/mMad7fsJ/ai5ef+zrrtaXZ0in3cgwcHT2Z9VpFp5JqhTHYqKIKSjgWDajfaAAAgAElEQVRwdyyArY0e7+ql2XY2yKKMUop7D+MAuBsTS/GCeQHIa2eTcIAbG29AobI3fBrqeFbHoVBBa8fI0U4FRVCyaEHcHQsmtosz1yzKKOBeTNa3i3p1a3HxYiCXL18lLi6OZctW0tbP26JMWz8vFi0ynQ376681NG/WyLzcm2XLVhIbG0tg4DUuXgykXt1aj93nuvVbEvZ78OAx3N1dALhxI4JDh48TFxf31O+lbl3PFK/r5+dlUcYv6XtZvoZm5vdy//4D9uw5SEzMQ4vyDx7EsH276QA4Li6Oo8dO4ebm8tQZIWWdL122Er9kde6XRp37+XmzNJU6T6p580ZcunSFq1eDATh79gLnzl18psyP1K5Tk0uXrhAYeI24uDiW/+mPj09LizJtfFryv8XLAVjx9zqaNK0PmOrSYDBNpbC3z4OmaQAULFiAhg3rsnDBMsBUz9HRdzIlb3IlPMsTHXid21dvYIwzcGHVPsp61bYoE3f3QcK/bfIl5kyqQrsGXFi1N0syJlfcszy3A69zx5z54sp9lH5MZtt8eeBRZs30HpReh429Hca4eIuyWaGcpwfhV8K4ce06hrh4DqzeRS2vuhZlzu49RWxMLAAXj56jiHPRLM30JOU8PbieJPP+1bt48TGZLxw9h2OSzGWqlaNQMQdO7TyerZlN9RxuzrwbzxSZTydkvnT0vFXr2a5qJeKvBWMIDoX4eO7/s5V8TRpkeD95WzQmZs8BtIcPn1z4GdnXqEjc1RDigsIgLp47a7dToMXL6d4+T1UP9EWLcG/3kSxM+ZwwGjP/YSVW7QwppfIrpdYopY4rpU4ppTorpWorpbYrpQ4rpTYopVzMZfsqpQ6ay/6llMpnXv6GedvjSqkd5mX2Sql5SqmTSqmjSqlm5uW9lFLLlVLrlVLnlVLfZPZ7Cr/zAGeH/AnPnQrlI/z2fYsy/ZpVZ83xy3h9+zcDftvGpz51EtadvHaT12as4fWZaxnpV9fqo0Iic4TffoCzQ76E504O+Qi/Y3mA0q95DVO7mLycAYtSaRfT/Xn9hzWMbFvvmdqFq5sz14ISzzAHBYfi6uqcZhmDwUB09G2KFi2Cq2sq27o5p2ufNjY2dOvW8ZlGWJJzc3Uh6FpowvPg4DBck3Vc3FydCQoKTXwvt03vJT0cHArh49OSrVt3PVNOVzdngpLUT3BwKG7prHNTfsttXd0st+3cqR1Ll1pOl8ksrq5OBAdZ1rGLq5NFGRdX54QyBoOB29F3cDTXce06Ndl3cB179q/lk4+/wGAwUKZMSW7ejGTWT9+wc/cqZvwwgXz58mZJ/vzORbgbEpnw/G5oJPmdU/7/r9azJd12fUeDz7qwa9TCFOs9/F7i/Mrs6QzldynC3dDEzPfCIsnvkjJzlZ4t6bzrO+p93oU95syX1hwg/v5Duh35gTcPTOXEz2t5GHUvS/MWcXIkMiRx5CkyNJIiTmkfhDfu1IKT2xIPFm3z2DFq1SRG/v01tbzqZWnWRzKauUmnFpwwZ1ZK0WVkT5ZOSNlOslLhZJlvhUZQxMkxzfKvdGrOyW2JU08f1fPnf09I0VnNCvoSxTBcT5xWGB9+A32JYinK5Wv+Cs5LfqHYpNHonYqnWJ/fqxn3MvHvxuPYOBUjLjRJ5rCb2KTSLgq2akSZlbNwnfY5Ns7m96QUJYb35cbk7JkyKTKPtY+0WwMhmqbV1DStGrAemAG8rmlabWAu8JW57HJN0+pqmlYTOAP0MS8fBXibl7c1L/sAQNO06sCbwAKl1KM5GJ5AZ6A60FkpleLiC6XUu0qpQ0qpQ79uytiwbConFFHK8kz++hOBtK1Vjn+GdOCH7k0Z+dcejEbThtVLFmP5hz4sfs+bX3ee5mFc7rlA7b9MI2XDSD6+s/5EIG1fLM8/Q1/jhx6ptIuPfFn8Xmt+3fFs7SJ5ewRSnAlPvUza26Znnz/MmMDOnfvZtftARiOnKZWXTed7SeWDmoxer2fRopnMnDmXy5efbWpUVtT5I7a2tvj6evHnX/7PlDEtaeWyLJNyu0cZDx86zst1X6VZkw4MGtyPPHnssLGxoaZnVX6ds5hXGrbl3v0HfDK4X1bET1d+gFMLNrG40WD2fv07tT9qb7GuhGd54h/EEvlvUMoNs0RqFZpyUcCCTSxtNJgDE36nljlzCc9yaEYji2t/yO/1B1H93TYULJXyADNz46b/M1a/fWPK1CjPutkrE5YNafAe49oO5+ePptJ1VG+Kl3JKddvMlJHvhQbmzGvNmVv0aM2JrUeIDI3I0ozJZSTzy+1foUyN8qxPUs9DG/RjXNvhzP5oKm9mUz2nkCzvg517CfbrRtibfYk5cJiiY4ZbrNcVdcTWoywxew9mZ0pLyar47tb9XGrRi8B273Nvz1GcJw4GoHBXX+5tP0h8WNZNSX2uaMbMf1iJtTtDJ4GWSqlJSqlXgJJANWCjUuoYMBJwN5etppTaqZQ6CXQDHl19vhuYr5TqC+jNyxoBiwA0TTsLXAEqmtdt1jQtWtO0GCAAKJ08lKZpszVNq6NpWp0+LeskX/1YToXyEhadeBbu+u37CdOdHvn7yCW8qpUCoGap4jyMNxB133L4t1xxB/La2nAhPCpDry+eT06F8hEWnThCeD06lXZx+GKydmFM2S5KOJDX7tnaRXBQKCXdXROeu7u5EBp6Pc0yer0eB4dCREbeIjg4lW1Drj9xn1+M/ITixYsyZOiYp86dmqDgUNxLJo4Eubk5ExoSlrKMeWqeXq/HoVAhIiOfXH8/zprEhQuXmTHj12fOGRwUinuS+nFzcyEknXVuym+5bWhI4ratWzfj6NGThIdnzR/g4OAw3Nwt6zgsWfaQJGX0ej2FHApyK1kdn/v3IvfuP6BKlRcIDg4lODiMw4dMU4xWrlhHzZqWNxTJLHdDIyngmnj2vICLI/ev30qz/PmV+yjrbTklrUK7l7NtVAjgXmgkBVwSM+d3duReWNqZL67cRxlz5vLtG3Bt2wm0eAMxEbe5fvAcxWuUy9K8t8IicHRNPOPv6OJIVHhkinJVGtbAd0BHpr3zNfGx8QnLo8JN7+3Gteuc3Xea0lXLZmlegMgMZPYb0JGpSTKXf7EiLd96lW93/UiXz96i4WtNeGN49yzPnLyei7gUTag7y8zV8R3QkenvTEyjnsM5u+80pbK4ng3hNy1GemxKFMdww7IDaYy+Deap0nf/Xotd5QoW6/O3asqDrbvAkD0nhuOv38TWJUlm52LEhyfLHHUHzZw5+o/12Fc1Zc7rWZnC3fwot3k+xYe9Q6F2LSk2qHe25BbPxqqdIU3TzgG1MXWKvgY6Aqc1TfM0P6prmvboAoD5wADzaM9YwN68j36YOk0lgWNKqaKkelotQdKjSwOZfBOJqm5FuRp5h+Bbd4mLN7Dh5BWaVHKzKOPikI/9l0wHE5duRBMbb6RI/jwE37pLvMHUMw6JuseViDu4Fs6f4jVEzlPVrShXI5K3C3eLMi6F87H/oulA/lJ4NLHxhlTaxV2u3Lz9TO3i4KFjeHiUpUyZktja2tKpUztW+/9jUWa1/z/06PEGAB07+rB12+6E5Z06tcPOzo4yZUri4VGWAwePPnafb/d+E69WTenW/YN0jchkxKFDx1O8rr//Rosy/v4bE9/Laz5s2/bkuxGNHTMUB4dCDB48OlNyJq+fzp3a4Z+szv3TqHN//3/onEqdP9K5c/ssmyIHcOTwCcqXL0Pp0u7Y2try2uu+rF272aLM2rWb6drtNQDad3iVHdtNHYfSpd3R603nqEqWdKVChbJcuRpEePhNgoND8ahgOhhr0rSBxQ0ZMlP48Us4lHGmYMni6Gz1eLR9mcsbLefzO5RJPENeuoUn0YFJOtRKUd7npWy7XgjgxvFLFCqbmLl8u5e5mixzobKJmUu18CT6sinzvZAIXBuYOpY2efNQ4kUPoi6GkJUuH79AiTIuFHMvgd7Whnp+jTi60XJWRamqZek54T2mvzOROxG3E5bnK5QfGzvTn+ECRQpSoXYlQs5n/Qjc5eMXcEqS+aU0Mvee8B5Tk2X+eeA0BjXsx5BG/fl9wkJ2L9/OH5N+s0LmhhzbaDliUqpqWd5KZz2HZnE9xwacxbakG3pXZ7CxIZ9XMx7s2GNRRlc0sdOft3F94pKNwufzzr4pcgAxJ89hW9oVWzcnsLWhYJsm3N2yz6KMvnjilNUCzV8m9qLp+t/Qod9wqXlPLrXoxY1v5nB75SZuTpmXbdmzXS66Zsiqd5NTSrkCkZqm/aaUugu8CxRXStXXNG2vUsoWqKhp2mmgIBBqXtYNCDbvo7ymafuB/UopP0ydoh3mMluUUhWBUsC/wItZ/Z5s9Do+9alD/4VbMRo12r1YDo8ShZm1+QRV3BxpWsmdQa1fZNzK/SzecxYUjO3wMkopjl65wdydAdjoFTqlGOFbhyL5s+YOSxkxdPREDh49QVTUbVq07877fXrQMdnF3+LxbPQ6PvWtQ/8FW8ztojweToWZtfk4VVyL0rSyO4Na12bcyn3mdqEY+1p9c7sIZ+6OAGz0OnQKRvjWfaZ2YTAY+HjgSNau+R96nY75C5YSEHCOMaOHcOjwcfz9NzJ33u8smD+dswG7uHUriq7d3wcgIOAcf/65mpPHtxJvMPDRx59jNH+BpbZPgFkzJ3LlShC7dq4CYMWKtYz/aipOTsXZv3cdhQoVwGg08tGHfalesyl37tzN0HsZOPAL1vgvRqfXsWD+UgLOnGP0qCEcPmJ6L/Pm/c78edMICNjFrcgouvd4P2H7c//upVChgtjZ2dLWzxsfn67cvnOXESM+5uzZ8xzYv970Hn6cz7x5S565ztckq5/Ro4dwOEmdz58/nTPmOu+WpM7/+HM1J1Kp87x57WnZojHvv285taRdu9ZM/X48xYs7snLlQo4fP42Pb7enzj5k8FiWr5iPXq/jt0V/cvbMeT4bOZCjR06ybu1mFi1Yxuw533H0+BZu3Yri7V4fA/By/Tp8Mvg94uLi0YxGBn8ymsgI09npYYPHMufX77G1syXw8jU+6D/saav3sTSDkZ1fLMDvt2EovY6zS7dz61wwdQd35MaJywRuPEL1Xl64N6qKMd7Aw+h7bP4k8dbhri9V4m5oJLev3njMq2R+5j1fLODVxcNQOh3/mjPXHtKRG8cvc3XjEar28sItSebt5syn52+kyZR3eX3zRFCKc8t2EJnsZi2ZzWgwsnjUHAYv/AKdXsfOZVsIOX+N9p90IfDkBY5tOkSnEW+RJ589788yTSl6dAttVw93ek54D6OmoVOKNT/+bXF3tKzMvGjUHIaaM+9YtoXg89foYM58dNMhupgzf2DOHBl8k6nZdNvvtDL/NmoOgxaORKfXsWvZFkLOB9H+k84EnrxoruceKep5Rt9JuHi403PCuwnTmtdmRz0bjEROnkGJGZNAr+PeqnXEXbqCw3u9iD3zLw927KVglw7kbdwADAaMt+8QMSbxUm69ixN6pxI8PJJ9N6nAYCT8yx9x/3U86PRE//UPsReuUvTDHsScOse9rfsp0qMdBZq9jGYwYIy+Q9iI77Iv3/PEip2XzKYy+0xthl5cKW9gMmAE4oD+QDwwHXDA1FmbqmnaL0qp/sAwTFPeTgIFNU3rpZRaDlTANBq0GRgI5AF+wjTqFA8M0jRtq1KqF1BH07QB5tf3B77VNG1bWhkfLB1rvQp6CjYtelg7wlOxLZa10zgy24Nl46wdIUMKdn+63/CxJl1qF6I856z5ffo08tlZ/2RLRn1dpL61I2SIbc5qEgDsscnau89lhZx2WKZ/Tu4WmxFjiqU9VfN59eCunbUjZNgLZ9fliMYRs3NRpn+72b/Swyrv3aojQ5qmbQA2pLKqcSplfwRS3NRd07TXUtk+BuiVStn5mKbbPXrum+6wQgghhBBCCDQt99zgy9o3UBBCCCGEEEIIq7DqyJAQQgghhBAih8lF1wxJZ0gIIYQQQgiRflb8XaDMJtPkhBBCCCGEEP9JMjIkhBBCCCGESL9cNE1ORoaEEEIIIYQQ/0kyMiSEEEIIIYRIv1x0zZB0hoQQQgghhBDpJ9PkhBBCCCGEECJnU5qmWTvD804qSAghhBBCZAdl7QDp8WDDD5l+fJzXe4BV3ruMDAkhhBBCCCH+k+SaISGEEEIIIUT6yTVDQgghhBBCCJGzyciQEEIIIYQQIv1y0ciQdIaEEEIIIYQQ6ZeLfmdIpskJIYQQQggh/pNkZEgIIYQQQgiRfrlompyMDAkhhBBCCCH+k2RkSAghhBBCCJF+ueiaIekMCSGEEEIIIdJPpskJIYQQQgghRM72nx4ZUkrpNU0zWDuHEEIIIYQQOYZMk8sZlFJfAjc1TZtmfv4VcB3oAIQCnkAV6yUUQgghhBBCWEtunyb3K9ATQCmlA7oAwUA94HNN01LtCCml3lVKHVJKHZo9e3a2hRVCCCGEEOK5ZzRm/sNKcvXIkKZpgUqpCKVULcAJOApEAAc0Tbv8mO1mA496QVrWJxVCCCGEECKHyEU3UMjVnSGzOUAvwBmYa152z2pphBBCCCGEEM+F3D5NDuBvoDVQF9hg5SxCCCGEEELkbJqW+Q8ryfUjQ5qmxSqltgJRmqYZlFLWjiSEEEIIIYR4DuT6zpD5xgkvA28AaJq2DdhmxUhCCCGEEELkXLnomqFcPU1OKVUFuABs1jTtvLXzCCGEEEIIIZ4fuXpkSNO0AKCctXMIIYQQQgiRa+SikaFc3RkSQgghhBBCZDIt93SGcvU0OSGEEEIIIYRIi4wMCSGEEEIIIdIvF02Tk5EhIYQQQgghxHNPKdVaKfWvUuqCUurTVNaXUkptVUodVUqdUEq1edI+pTMkhBBCCCGESD8r/OiqUkoPzAReBaoAb5rvHJ3USGCZpmm1gC7ArCftV6bJCSGEEEIIIdLPOtPk6gEXNE27BKCU+h1oBwQkKaMBhcz/dgBCnrRT6Qw9QdzNS9aOkCHxW36zdoSnkrfTKGtHyJCc1i4AipZuae0IGfLQEGftCBlmzGFzqJVS1o6QYR+4NLJ2hAyxI+fVcRix1o6Q612Nv23tCBn2tbGgtSNkWIQhj7UjZJjP9SXWjvA8cwOuJXkeBLyUrMwY4B+l1IdAfuCJBz8yTU4IIYQQQgiRfkZjpj+UUu8qpQ4lebyb7FVTO7uUfH7dm8B8TdPcgTbAIqXUY/s7MjIkhBBCCCGEsCpN02YDsx9TJAgomeS5OymnwfUBWpv3t1cpZQ8UA8LT2qmMDAkhhBBCCCHSTzNm/uPJDgIVlFJllVJ2mG6QsCpZmatACwClVGXAHrjxuJ3KyJAQQgghhBAi3TTjk+/+lumvqWnxSqkBwAZAD8zVNO20UmoccEjTtFXAYOAXpdQnmKbQ9dK0x9+qTjpDQgghhBBCiOeepmlrgbXJlo1K8u8AoGFG9imdISGEEEIIIUT65bC7pz6OXDMkhBBCCCGE+E+SkSEhhBBCCCFE+qXvhgc5gowMCSGEEEIIIf6TZGRICCGEEEIIkX5WuJtcVpGRoWw2csIUGvt0oX33ftaOYmH3+RDaTV2F3/crmbvjdIr1oVH3eGfuJjrPXMsbP6xh57lgAE4G3aTTzLWmxw9r2BJwLbuj5wrPU7to2aoxh49u4tiJLXwyOGUeOzs75i2YzrETW9iybTmlSrkBULt2DXbt9WfXXn9271uDr58XAHny2LF1+9/s3reG/QfX89nnAzM1r1erppw8sY2A0zsZMuT9VPP+tmgWAad3snPHKkqXdgfA0bEwGzYsJeLmWaZ+/6XFNqtXLeLggQ0cPbKJH2ZMQKd79q9KL6+mnDq1gzMBuxg69INUcy5e/CNnAnaxe9fqhJwAw4YN4EzALk6d2kGrVk0sttPpdBw8sIEVfy9IWDb75285fGgjRw5v5PffZ5M/f76ny3tyOwEBuxg6JI28v80iIGAXu3Ymyzv0AwICdnHq5HaLvAMG9OHokU0cO7qZDz/sk7B88W+zOHhgAwcPbODcv3s5eGBDhvM+TqUmNRmxeQqfbZtKi/5tU6xv0qcNwzd+y9B1k+i/eCRF3IolrPP9tCvDNkxm2IbJePrWz9Rc6VWxSU2GbP6Oodu+p2kq+V/q1pKB6yfx8dqv6ffHaEp4uGV7xupNPJm4eTrfbPsBn/4dUqz37uPHhI1TGb9uCsMWj6aoW3GL9fYF8jJ132x6jH0nuyLnyMx1m9Zhwfa5/LZrPm9+0DnF+hovVefndbPYFLiexj6vJCz3bFCTXzb8lPDYcGENDb0bZHleh6a1qLlzBp67Z+I6IGUdP+LoU5+XQ5aTv0Z5AJStDeW+H0CNzd9TfeMUCtWvmuVZHynerCZNdn9H033fU/7DlJ+3R5x96+FzfQkONctZLLd3K4r3pXmU6++T1VGty2jM/IeV5OrOkFKqsFLq/STPmyql/K2ZqX2bVvw0Zbw1I6RgMBr5evVBZr7VjOUf+rL+RCAXw6Mtyvyy/RRe1Uqx9IM2TOzUiAmrDwLgUaIw/+vXmmUftGFmz+Z8uWo/8YbcM480uzwv7UKn0/HdlLF07NCburW9ef0NP16o5GFR5q2enYiKuo1njebM/GEuY78cDkBAwDmaNGpHo/q+vNa+F9NmjEev1/PwYSy+bbrR8GUfGtb3pWWrxtSt65lpeadNG0/bdm9R07M5nTu1o1KlChZlevfqQlRUFFWqvsL0GXP4avxnAMTEPGTs2G/59NOU9d61W3/q1vOm1ostKVasKB07+j5zzunTvsLPrzs1ajajS+f2VK5smfPt3m8SdSuaylUaMW36L0yY8DkAlStXoHOndtT0bI6vbzdmTLfsnH304TucOXveYl+Dh4yhdp1WvFi7FdeuBvP++70znHfatPH4te1BzZrN6Ny5HZWT12vvLtyKiqZKlUZMn/4LE74y1WvlShXo1Kkdnp7N8fXrzvTpX6HT6aha5QX6vP0mDRr6UruOF23atMTDoywA3bq/T9163tSt583fK9ayYsW6DOV9HKVTdBz3NrN7TWRSq8HUatsQp2SdheCAQKb4fcbkV4dzfN1+/EZ0A6BKs1q4Vy3Dt22GM7X9SJq/60ueAnkzLVt687cf15u5vSYxpdUQarZtkKKzc2zlbqa2Hs60NiPY/rM/vl/0yOaMOt4a15fven3FiFYDebltI1w93C3KXAm4zBi/YYx8dRCH1u2j8wjLjB0Hv8nZ/QGS+TF0Oh0fj/+QT3t8Rq9m79CiXTNKVyhlUeZ6cDiTBk1m84otFsuP7TlOX+9+9PXux6DOQ4mJieHQ9sNZHZiyE/pyttt4jjf9mKLtXiFvBfeUxfLb49ynDXcOn0tYVqJbSwBOtPiEM13GUmp0L1Aqa/MC6BRVJ/bmQNdJbH9lCK4dGlCgYsqTC/r89pR5pzW3Dp9Psa7KuB7c2Hws67OKTJOrO0NAYSDlqWIrquNZHYdCBa0dw8KpoAhKFi2Iu2NBbG30eFcvzbYzliM8CrgXEwfA3ZhYihc0HRDktbPBRm9qRrHxBhTZ8GWVCz0v7aJOnZpcunSFwMBrxMXF8def/vj4trIo4+PbkiWL/wJgxd/raNrUdHbxwYMYDAYDAPZ58pD0J87u3bsPgK2tDTa2Njzh98/SrW5dTy5eDOTy5avExcWx7I9V+JlHpB7x8/Ni0W9/ArB8+RqaNTP9/MD9+w/Ys+cgMQ8fptjvnTt3AbCxscHOzvaZ89arW8si59JlK/Hz806Zc9EfAPz11xqaN2tkXu7N0mUriY2NJTDwGhcvBlKvbi0A3NxcePXVFsyduyTV/AB589pnOH+Kel22MvV6fZR3+RqaJeT1YlmyvHXrelKpkgf79x9NaCc7d+yjXbvWKV779Y5+LF22MkN5H6eUpwc3r4QRcS0cQ5yBo6v3UM2rjkWZC3sDiIuJBeDK0fMUdnYEwKmCGxf3n8FoMBL74CHBZ65SuUnNTMuWHiU9PYi4EkakOf/x1Xupkiz/w7sPEv5tly8PZNLnK73KeXpw/UoYN65dxxAXz/7Vu3jRq65FmbN7TxFrruMLR8/h6Fw0YV2ZauUoVMyBUzuPS+bHqOT5AiGBIYReDSM+Lp4tK7fR0MtydOd60HUunbmM8TFTmJr4vMKBrQd5GJPyuy8zFajlQUxgKA+vXkeLiydi5S6KeNdLUa7ksK6EzFqB9jA2YVneiiW5vfMEAPER0Rii75G/ZvkszQtQ+EUP7l8O48GVcLQ4AyEr9uLUuk6Kci982olLM1djNB8XPeL0ah3uXwnnzr9BWZ7V6mRkKPsopcoopc4qpeYopU4ppRYrpVoqpXYrpc4rpeoppcYopeYqpbYppS4ppT4ybz4RKK+UOqaUmmxeVkAp9ad5n4uVyo5TDc+38NsPcHZInEbj5JCP8DsPLMr0a16DNccv4zV5OQMWbeNTn8Qvh5PXbvLadH9e/2ENI9vWS+gciZzHxdWZoKDQhOchwaG4ujglK+OUUMZgMHD79h0cixYBTJ2p/QfXs/fAOgZ+NDKhc6TT6di115+LgQfZumU3hw5lzgGEq6sz14JCEp4HB4fi5uqcokyQucyjvEXNeR/Hf/VvBF07yp2791i+fM2z5XRLzJBmTrfE92IwGIiOvk3RokVwc025raubadvvvhvLiBHjMabyR2TOL1MIunaMF17wYObMuRnK6+bqQtC1xHYQHByGq5tLsjLOFu0g+rYpr6ubi0UbCg4Kw83VhdMB//LKKy/h6FiYvHntad26Oe7urhb7bNToJcLDb3DhwuUM5X2cwk6ORIVEJDyPDo3EwckxzfIvdWrGmW2ms7ohZ65SuakntvZ25C9SkAr1q1DYpWia22YFB6ciyfJH4OCUsv3W79GKYdun0ubTrqwcsyDF+qxUxMmRyJCbCc8jQyMp4pR2PTXp1IIT244AoJSiy8ieLJ2wMMtzJpUTMxdzKUZ46POr6ZgAACAASURBVI2E5zfCblLMpdhjtkhds7ZN2bxia2ZGS5Wdc1Fik7Td2NAI7FwsP3v5qpXFzrUoUZssR6nunw40dZz0OvKULEH+GuXJ45rx95pR9s5FeJAkc0xIBPbOlp+3QtXKYO/qSPjGoxbL9fnyUH6AH+e//SvLc4rMlVOOWj2AaUANoBLQFWgEDAE+M5epBHgD9YDRSilb4FPgoqZpnpqmDTWXqwUM5P/s3XdYFEcDx/Hv3AmoiWg0Rin2ktgbdkVQwQKI3ST2JMYUY9do7L5qTGLsGjUWbLFXigULItgAFaUodqXZKBorHvv+cXhwFAU9BMx8nofnubudXX677M3u7MwuUBUoTzr/pVYI8a0Qwl8I4b98zYbUk987CmmvIKVuIe49d50OdSuwf1RnFva2Yfy2Y7orTzVKfcz2wY6sH9iWFd7BPEvQvIPUUnZI79JA6l6FdHv/ksr4+wfSsH5bbKw7MmLk95iYGAOQmJhIs8aOVKnchHr1alKlamUD5U2bJU3eTKxTehydelGmrBUmxsa63qQ3lbmc6ZXJeN727Vtz9849Tp85n+7v/GbAcEqXqcuFC5fo3i3jce/p5037WebyKhnOe+HCZf6YtZg9Hhtwc13HufMhvHjxQq9cjx7OBu0V0gZN57MM/v71OjajVM3yHFrmCsDFo+cIOXyGIdun0nv+T1w/fYnEdz0MOIP9IrXjaz35vcVQ9sz8h1Y/ZXxvRnbIzP79UpOO1pStWQGPZdq/c6vebTl3+DQxUffTLZ9d8mTmdHbmrPb6Fv2kKOU/K4ffEX9DxcpYut+9lNMFZSf35+YUlzTF7mw8yPOo+9TY+wdlpn7FQ/8LKJp3cG7xuuvjQlB1am9CJ69LM6nyqK5cW7oHzePs7XHLNRTF8D85JK88Te6aoijnAYQQwcBBRVEUIcR5oCxwFnBXFOUZ8EwIcQcokcGyTimKEp60rLNJ8/ukLKAoyjJgGUDCvavvz+MyMlDCtCDR8Y9172/HP9YNg3tpR8AVFve1BaBW6eI8e5FI3ONnFP0wv65M+U8KU8A4H5fvxFHN4t1ePZUMIzIiGkvL5B4AcwszoqLv6JeJ1JaJjIxGrVZjalqImJg4vTJhF6/w6NFjqlb9lDMpTtbj4x/ic/Qkre2sCQ0J421FRERRKkXvgoWFGZFRt1OVicbS0pyIiIzzZuTZs2e4uXvi5GjPwYNH3zxneJReL0i6OcO16xIREYVaraZwYVNiYmIJj0g7b1TkbRyd7HB0tKdt25bkz2+CqWkhVrvMp2+/wbqyiYmJbN6ymxHDv2f1ms2ZzhseEYVlqeT9wMKiJFGR0WnLWJol5zU1JSYmLmldU8xrWZLIKO28Li4bcXHZCMD/pv5MeERyD5JaraajczsaNW6f6ZyZERcdQxHz5PqosFlR4u/EpilXuWl17AZ1YmGPKWieJzfSDizayYFFOwHoNe8n7l6LSjNvdopPk78YD9LJ/1Kg63E6Tfs6w+nZISb6PkVTXLUvalaUuDsxacpVbVoTp0FdmNFjAi+StnGFupX5tH4VWvZuS/6C+clnlI+nj5+y5be0J5v/9cx3o+7yiVnyQxyKl/yY+9FZa5DZOrXAZ68vmhfZ37B4HnUf4xT7rrFZMZ5HJ29j9YcFKPBZaapu0z7Axqh4ET51GcvFfr/y6NwVbkxepStbbfcMnl7N/u/e06gYCqTInN+8GE+jk79v+T7MT6HPStFo+0QATD4pjNWakfj3mUWRuhUp6diQzyZ8iVHhgiiJCppnCdxYuT/bc+eIHBzWZmh5pWcoZTM7McX7RJIbdCnLaMi4oZfZcv8Z1SyKcfP+QyJi/yXhhYZ952/Q4jP9mxzNihTk5BXtCc3VO/E8f6Hhow9MiIj9V/fAhMi4f7lx7wHmRT545+sgGUZAwDnKVyhLmTKWGBkZ0aWrIx7uB/TKeLgf5IueXQDo2KkdR44cB6BMGUvUajUApUqZU6lyeW7cDKfYx0UpXFh7P1T+/CbY2Dbl0sWrBsnr7x9IxYplKVu2FEZGRnTv1gE3N0+9Mm5unvTu1RWAzp0d8PLyfeUyP/igICVLfgJoT9DbtmnJxYuX3yqnn/9ZKlYsp8vZo7szbm76B0g3t/307t0NgC5dHDiclNPNbT89ujtjbGxM2bKlqFixHKf8zjB+/EzKlbeiUuVG9Oz1A4cP++oaQhUqlNUt19HBLsv5tds1OW/37s7pb9eXeVNsVzc3T7qnyuvnpx12Vry49iSjVClzOnZsx6ZNyb1ArVo15+LFK0REGPaE51bgFYqXLUlRy+KojdTUcWpCsKf+kByLamXpNmMAy7/5g3/vP9B9LlSCgkU+BMDss9KYf1aai0n3Mbwr4YFXKFa2JB8l5a/l1JjQVPmLlU0ecvlZyzrcux6dejHZ6lrgZUqUNeNjy09QG+WjoVMzznjq9zyUrlaO/jMGMvebmTxMsY2XDp3H8KbfMbLZ92ycsQbf7UeyvVGRVzNfCLyIRTkLSpYqST6jfLR0tuGY5/EsLaOlsy0Hd2X/EDmAf89eJn85M0xKfYIwykcx52bE7vfTTdc8fExA9X6cafgdZxp+x7+nw3QNIVUBY1QFTAAobF0L5YWGJ5ey/z6c+DNX+KB8SQqULo4wUmPesTG39yV/3148fIJn1W85XH8wh+sPJi7gMv59ZhEfeJXjzlN0n19btocr83a+vw2h98z73hB4COT8XekpjJo0E78z54iLe0Crjr344evedEl1I/W7lk+tYoyjFd+vPkRiooJz3QpULFGExQcDqWpeDJsqlgxvW4+pu06w/tgFEIIpnRsjhODMjTus9A4hn1qFSsBYx/p89EH+1/9SSU9u2S80Gg2jRkxmx67VqNUq1q7ZwoXQS4wbP5TTp8+zx+Mga1ZvYtny2Zw9d4jY2Hj699WegDduYsWw4d+R8OIFiYmJDB86kZj7sVSr/hlLlv2BWq1GpRLs2ObB3r2HXpMk83mHDp2Am+s61Go1Lqs3ERoaxsSJIzgdcA43d09WuWxk1cq5hAQfJSYmjt59kh8TffHiMUwLFcLY2AgnpzY4OPYkJiaWbVtXYmJijFqtwsvrGMv+frsTHY1Gw5Ch43F3/we1SoXL6k2EhIQxadJIAgICcXPzZOWqjbi4zCc0xIfY2Dh69tI++yUkJIwtW105F3iYFxoNg4eMS/ceoZeEEKxcMRdT0w9BCM6fC+HHQWOznHfo0Am4u61HpVax2mUTIaFhTJo4koDT2ryrVm3EZdU8QkJ8iI2Jo1fvpLyhYWzd6kpg4CE0LzQMGTJel3fTxmUUK/YRCQkvGDxkHHFxyU+t7N6tA5s278zqpn2tRE0i2yauYuCaX1CpVZzcfJjoS+G0HdaNW+evEnwggA5je2JS0IR+i7WPfY+NuMeKAbNQG+Xjpy2TAXj67xPWDVv4zofJJWoS2TXRha/XjEWlVuG32Yvbl8KxG9aV8PPXCD0QQJO+9lRqWgPNixc8iX/E5hF/vfOMaycuZ9SaCajUKrw3HyLi0i06Dfuc6+cvc+aAP5+P7YNJwfz8uHgEADER95g7YOY7zfk+ZJ4/YSG/r/8VlUrFnk37uB52g/4j+3IxMIxjnsf5tFZl/rd8Mh8W/pDGdo3oP7wP/VsNAKCEZQmKmxcn8Pg7atBrErk+bjmf/TMRoVZxZ+NBnoTdwnLU5zwKvKLXMErNqFhhPtswERIVnkff5/JP899JZEWTSNBYFxpsHItQqwjf4MW/F8OpPLorcYHXuLMvm5/Al5e8R/9nSBjqqU7ZRQhRFnBTFKV60nuXpPdbX04DtgL/KooyK6lMEOCoKMp1IcQ/aO812gO4AyMVRXFMKrcQ8FcUxSWj35/Xhsm9OJT9V6eyQ4HuE3M6QpYk3DNMz8a7VKxM65yOkCXPNAmvL5TLvKqRkhvlxefH/GjWLKcjZIlxHnzCZjTPX19Ieis3Xzx4faFc5tfEXHVtOVPua0xyOkKWOdzekCcqjcezvjH4+XHBkctzZN1zfc+QoijXgeop3vfLaFqKz1OW/zLVZK8U0wYZLKgkSZIkSZIk/Rcoeevi36vk+saQJEmSJEmSJEm5yHs0TC6vPEBBkiRJkiRJkiTJoGTPkCRJkiRJkiRJmabksXtkX0X2DEmSJEmSJEmS9J8ke4YkSZIkSZIkSco8ec+QJEmSJEmSJElS3iZ7hiRJkiRJkiRJyjz5aG1JkiRJkiRJkv6T3qNhckJR3p+VyQ6mH5TPUxvoccKznI7wRl48j8jpCFmScO9qTkf4T6hQ2TmnI2RJK9PKOR0hS9ZFnsjpCFmmVqlzOkKWqFV5bzS6IEf+CfxbefrieU5HyJLSpp/kdIQsK6A2zukIWXb7SWxOR8iyew/C8sQX8NHUngY/P/5g4vocWXfZMyRJb6BYmdY5HSFL7t84kNMRJEmSJEl6X8hHa0uSJEmSJEmSJOVtsmdIkiRJkiRJkqTMe4/uGZKNIUmSJEmSJEmSMu89epqcHCYnSZIkSZIkSdJ/kuwZkiRJkiRJkiQp896jYXKyZ0iSJEmSJEmSpP8k2TMkSZIkSZIkSVKmKe/Ro7VlY0iSJEmSJEmSpMyTw+QkSZIkSZIkSZLyNtkYMpDWdtYEnDnA2XOHGDbiuzTTjY2NWbV6PmfPHeKQ13ZKl7YAoF69mvgcd8PnuBu+J9xxdLLXm0+lUnH0mCubty5/o1xt7G0IDvLmQogPo0f9mG6uf9b/xYUQH475uFKmjKVu2s+jB3EhxIfgIG/s7Vq8dplrVi8gOMibs2cO8veyP8mXT9vx+OmnFfDx3s2jh1cZPmzgG61HXmXo/cLExJjDR3bge8Kdk357+WXc0He6PimNnzEba4fP6dgr7Xq9Sy1aNeXwyd14+7vzw5Cv00w3NjZi0Yo/8PZ3Z5fneixLmQPQsasDe45s0f1cvxdI1eqfAmBklI+ZcybhdcqVQyd2086pdbblr96iNjMOzmem10Laf98pzXT7r52Y5jmXqXtmM2r9JIpZFNdNW3FlM1M8ZjHFYxaD/x5j0Fz29jYEBXkTGuLDqAzqjvXr/yI0xAffVHXH6NGDCA3xISjIG7sUdUfhwqZs3LiM8+ePcO6cF40a1tNb5rBhA0l4HkGxYh+9dX47uxacO3eY4GBvRo78Id38a9cuIjjYG2/vXbr8RYsWYd++jdy7F8qcOVP15una1Qk/v32cPn2A6dN/eeuM6WU+c/Yg5857MWLE9+lmXr1mIefOe+F1ZCelS2szt2zZDB9fV06d2ouPrystWjTWzWNkZMSChTM4G3iI02cO4uzc1mB5W9tZc/rsQQLPH2Z4BvXb6jULCDx/mMNHdiTXb1a1OHbCnWMn3Dl+wgOnDsnHvcVLfuPadT9O+e19q2zv8tjndWg7/n778ffbz83rAWzbugIAJyd7Tgd44u+3nxPHPWjapP5brROAdcsmHDixg0OndvHd4P7prJcR85fP5NCpXWzftwaLUmaAtk77ff5k9nhvxt1rEw2b1kszb3ZoZtsIN9/N7DmxlW9+6pNmer1GtdniuZrACF/sHVvqTVu6YS7Hww6waN2f2Z6zZevmnAjYy6mzngwe9m2a6cbGRixfNZdTZz3Zd2gLpZL25ZcsLM24HnmGH3/6SvfZt9/34egJN3xOujPwh77Zvg7vXKJi+J8ckmONISFEWSFEUBbKuwghuia9Xi6EqJpOmX5CiIWGzJkZKpWKP2dPoUun/tSv14au3Zz49LOKemX69O1OXNwDatdsyaKFK5nyv58BCAkJo0UzZ5o1dqRzx37MWzANtVqtm+/7H/sTdvHKG+eaP286jk69qFHLlh49OlKlSiW9Ml/1/4LY2Hg+q9qMufP/5tcZ4wCoUqUS3bs7U7N2Sxwce7Jg/gxUKtUrl7lhww6qVbemdp1WFCiQn6+/+hKAmJg4hg6bwOw5S99oPfKq7Ngvnj17jmP7njRt5EDTxo60trOmfv3aObF6dGxvx5LZ03Lkd7+kUqmY9vs4+nb/gVaNnenQpR2VPi2vV6ZHr87Exz3A2sqB5X+tZezkYQDs3OpOuxbdaNeiG0O/+4Xwm5GEBF0E4KcR33Lvbgw2DZxo1diZE77+2ZJfqFT0njqAOf2mM85uKA07NMO8oqVemZsh15jqNJqJ7Ybjv+cE3cf21k17/vQ5k9qPZFL7kcwfMNNguV5+z52celGzli2fZ1B3xMXGU6VqM+bN/5sZKeqOHt2dqVW7JY4p6g6AObOnsn/fYWrUaEG9enaEXrikW56lpTmtW1lz40a4QfLPmzcNZ+e+1K7diu7dO/DZZ/r5+/XrQVxcPNWqWbNgwXKmTRsLwNOnz5gy5U/GjJmuV75o0SL8+usvtGv3BXXrtqZEiY+xtW361llTZp49ZyqdOvajXl07unXrwGep6ou+/boTFxdPzRo2LFywgv9N0zaA79+PpWvXr2nQoC3fDhjB8hVzdPOM/nkQd+/ep3atltSr2xofn5MGzdu5Yz+s6tq/Mm+tGrYsSpE3JPgizZt2oEkjBzp27Mv8+dN1x731a7fRsWO/t872Lo99Ni07Y1XfHqv69pw4GcCOnXsAOHTIh7r17LCqb8+Ab0ewdOmst16vKb+NoX+PQbRp2gWnzm2pWFm/vuvesyMP4h7SsoEzK5es5+dJQwD4vHdnANpZd6dP1+/4ZepwhBBvlSczecfNHMV3Xw6lQ/PPad/JngqVy+mViYq4zbgh/8N9+/40869cvI6xgyZna8aXOX/7cxI9ugygaf32dO7qSOVPK+iV6dmnG3Fx8TSobceSRS5MmjJKb/q0X3/hoKe37v1nVSrRu2937G270qJJB+zb2FK+QplsXxfpzeTJniFFUb5RFCUkp3O8ZGVVi6tXb3D9+i0SEhLYttUNB0c7vTIOjq3ZsH4bADt37MHGpgkAT548RaPRAJDfxAQlRcPY3Lwkbdrastpl0xvlalC/DleuXOfatZskJCSwefMuOji10SvTwcmetWu3ALBtmzstbZslfd6GzZt38fz5c65fv8WVK9dpUL/OK5e5Z+8h3XL9/M5iaam9InX37n38AwJJSEh4o/XIq7Jrv3j06DGgvdKXzygfipIzV1OsategsGmhHPndL9WuV4Pr125y80Y4CQkvcN2+B/t2tnpl7NvbsnXjbgA8dnnS1LphmuU4d2nHrm0euvfde3Zi0Vxtb6yiKMTGxGVL/vK1K3LnRjR3b91Gk/CCU64+1LHXv3p84XgQz58+B+DKmTA+KlksW7KklPp7vmnzLpxS1R1OGdQdTk5t2JRO3VGo0Ic0a9aQlas2AJCQkEB8/APd8mbNmszYX6YbZH+uX7+2Xv4tW1xxStXr7uRkz7p1WwHYvt1D17B5/PgJx4758ezZU73y5cqV5tKla9y7FwNoT3Q7dmz31llfsrKqzdUryfXF1q2uODrqZ3Z0sGf9Om19sWOHh66+CAwMJjrqDqC9kGJiYoKxsTEAffp0Y9YfiwHtvnz/fqyB8tZKkzdN/eZglyJv5uo3X99Tb/19e9fHvpc+/PADbG2asmuXtlfrZV0N8EHBgm+9b9eqW50b125x60YECQkvcNuxD7t2NnplWrezYdtGVwD27D5Ak+YNAKj4aXl8j54C4P69WB7GP6RG7TTXlA2qRt2q3LoWTviNSBISXuCx0xPbttZ6ZSJvRREWcjndm/FPHvXn0b+P03xuaHWtanLt6g1uJO3LO7a5085BfzRAO4dWbNywA4DdO/fS3KZximmtuXH9FhcvXNZ9VvnTCgT4Ber29WO+p9J8P/I8JdHwPzkkpxtDaiHE30KIYCHEfiFEASFEbSHECSHEOSHEDiFEmvESQggvIYRV0uv+QogwIcQRoGmKMk5CiJNCiDNCiANCiBJCCJUQ4pIQonhSGZUQ4rIQ4uO3WQkz85KEh0fp3kdGRGFuViJVmRK6MhqNhgcPHlI0aSiIlVUtTvrt5fipPQwdPF53kJj5+wQmjptJ4hs+scPcoiS3wiN178MjojA3L5lhGY1GQ3z8A4oV+whz83TmtSiZqWXmy5ePnj27sG/f4TfK/b7Irv1CpVLhc9yNK9f9OHzIF3//wHe0RrlPSbNPiIyI1r2PirxNiVTbOGUZjUbDwwf/8lHRInplnDq1Zdd27dVc06QG3shfBuF+eBN/rfqTj4tnTwPkoxJFiYm8p3sfExXDRyUy/l3W3Vtx3uu07r2RiTETd//G+B2/Use+gcFymVuUJDzF9zwiIgqLTNYdFuZp5zW3KEn58mW4d+8+K5bPwe/UPpYu+YOCBQsA4OhoR2REFOfOGeYal3l6GcxLZFjm5XfvVcPzrly5QeXKFShTxhK1Wo2Tkz2WluYGyavNU4LwCP3MZmkyJ5fJKHPHju04FxjM8+fPKVzYFICJE0fge8yNtesW8cknb3W4S5GlJOERyfVbRER02uOLeQldGY1GQ3yKvFb1a+Pnv4+TfnsZMmScrn4zSLYcOvZ17NiOQ4d9efjwX91nzs5tCTp/hN27VjNgwIi3Wq+SZp8QFXlb915b3xXXK1PC7BOi0qnvQoPDsGtrg1qtxrK0OdVrVcXcQj+/oZUoqZ/3duQdSpQs/oo5coaZWQkiw5OPI5GR0Wm+e2ZmJYhIfawu+hEFCxZg8LAB/DFTf1BSaMglGje14qOiRShQID+t7VtgnnSBWMp9croxVAlYpChKNSAO6AKsAX5WFKUmcB6YlNHMQggzYAraRpAdkPIyhw/QSFGUOsBGYLSiKInAOqBnUpnWQKCiKPdSzIcQ4lshhL8Qwv/5iwe8Tno9zamvAAnSLQSAv38gDeu3xca6IyNGfo+JiTFt27bk3t37nD2b6ZGE6eRK+zvT5Eq3TMbzZmaZCxfM4OjRk/j4nspq5PdKduwXAImJiTRr7EiVyk2oV68mVapWNnj2vOLN9/HkMrXr1eDJk6eEhWqv6qnzqTG3KIn/yTM42PYgwC+Q8VPf7iQmQ5nI/1LjjtaUrVmBPct26T4b2WQgUzv8zNLBc/lyYn+Kly6R7rxZj2X4uiOfWk2dOjVYunQN9Ru04dGjx4wePYgCBfIzdsxgJk95uyFEhsmf8ZX7uLh4Bg8ex9q1izh4cCs3boTz4sWLtw+blTyvKVOlSiX+N20MP/2kvZ8pXz41lpbmHD/uT9Mmjpw6eZoZMwxzr9PbbmN/v7PUt2pDi+bOjBj5g65+y9lsb3fs+7y7Mxs37dT7bNeuvVSv0YIuXb9mymT9oVVZlvHhIrlIBjm3rN9FdNRtdh1Yz4Tpozh9KpAXBmyApiu9vOS+J5C98f6Cws+/DGbJIhe9XkCAS2FXmD/nb7btXMXm7SsIPn8BjQHri1xB3jNkMNcURTmb9DoAqAAUURTlSNJnqwHrdOfUagh4KYpyV1GU50DK8WSWwD4hxHlgFFAt6fOVwMu7+L4CVqVeqKIoyxRFsVIUxco4n+lrVyIyIlo3JAzA3MKMqOg7+mUik8uo1WpMTQsRk2ooQNjFKzx69JiqVT+lYeN6tHNoxfkQb1atno91i8b8vWL2a7OkFBEeRakUVy4tLcyIirqdYRm1Wk3hwqbExMQSEZHOvJG3X7vMCeOHUbx4MUaOmpylrO+j7NgvUoqPf4jP0ZO0tnvVV+T9FhV5W+/qppl5Ce6k2sYpy6jVagqZfkhcbLxueofO+kPkYmPiePzoMXvdDgLgvmsf1WtVyZb8sdH3KWqefKW+qFlR4u7EpClXtWlNHAd1Yd43v/LiefIBNe6OdsjT3Vu3uXAimDLVyqWZ901EhEfp9XpYWJgRmcm6Izwi7bxRkbcJj4giPDyKU35nANi23Z06tWtQoUJZypYtTYC/J5fCTmBpacapk/soUeLNryBHpJch6k6GZTL67qXm4XEAa2tnbGw6cenSVS5fvv7GGdNmjsbSQj9zdKrMkSnKpM5sblGSDRuXMuCb4Vy7dhPQ3kv06NFjdu/eB2iHA9aqXd1AeaOwtEiu3ywsSqY9vkRE68qo1WoKp7ONL168wuNHj6laTb9+e6tsOXDsK1r0I+rXr4OHx8F0Mx31OUn58mXe6uEg0ZF39HostPXd3VRlbmOWTn2n0WiYNv5PHG0/Z2DvYRQqXIjrV26+cZbMuB2ln7eE+Sfcib73ijlyRmRkNOaWyccRc/OSab97kdFYpDpWx8bEUdeqFpOmjuL0+UMM/L4vQ0d+x9ff9gJg/dqttLTuhFO7nsTGxnPlyo13t1LvgJKoGPwnp+R0Y+hZitcaoEhGBV8ho623AFioKEoNYCCQH0BRlFvAbSFES7SNqT1v8Dv1BASco3yFspQpY4mRkRFdujri4X5Ar4yH+0G+6NkFgI6d2nHkyHEA3ZALgFKlzKlUuTw3boYzZdIfVKnclBpVrenfdzDeR44z4OvhWcrl53+WihXLUbZsKYyMjOje3RlXN/2bFF3d9tO7dzcAunRx4LCXr+7z7t2dMTY2pmzZUlSsWI5Tfmdeucyv+n+BvZ0NPXv9mGP3seQm2bFfFPu4KIULa4dx5c9vgo1tUy5dvPoO1yp3CTwdRLnyZShV2gIjo3w4dW6H514vvTKee7zo+nkHANo723HsaHKPpRACB2d7XLfrP7nqwL4jNG6mvXenqXWjbNvG1wIv80lZMz62/AS1UT4aODXjjKf+wxpKVytH3xkDmf/NTB7eT+6pLmj6AfmMtU9s/PCjQlSq9xmRl97+4QOQtu7o0d0Zt1R1h1sGdYeb2356pFN33L59l/DwSCpX1t6Y3LJlM0JDwwgKuoCFZS0qVW5EpcqNCA+PokHDNty+rX+SlxX+/oF6+bt1c8LNzTNVfk969eoKQOfO7fHyOvba5RZPGi5ZpEhhvv22N6uS7n8yhICAQCpUTK4vunZ1wt1dP7O7hyc9e2nri06d2nPkiDZz4cKmbN+2ikkTf+fEiQC9eTw8DmJt3QgAW9umW+A/IAAAIABJREFUXEjx0Iq3y3suTd409ZvHgRR5M6rfLKhUuTw3DfDgjJfe9bEPoGsXR9w9DvDsWfJpTYUKZXWv69SujrGx0Vvds3XuTDBly5fGsrQ5Rkb5cOzUhgOp6ruDe4/Q5XMnANp1aM3xo34A5C+QnwIF8wPQrEVDNBoNl8Oy99gRdCaU0uVLYVHaDCOjfLTvaMfhfd6vn/EdOxNwnvLly1I6aV/u1MWBvakatXs9DvH5F9qnfXbo2JajSfuyU9svqVujJXVrtGTpX6uZO2sJK5atA+Djj4sC2ifNOXawZ/tWt3e4VlJW5LZ/uhoPxAohmiuKchToDRx5RfmTwDwhRDHgAdANeHkDRWEgIul16mcaLkc7XG6toihv3U+s0WgYNWIyO3atRq1WsXbNFi6EXmLc+KGcPn2ePR4HWbN6E8uWz+bsuUPExsbTv+9gABo3sWLY8O9IePGCxMREhg+dSIyBbnDVaDQMGToeD/d/UKtUuKzeREhIGJMnjcQ/IBA3N09WrtrIapf5XAjxITY2ji97aR9BGxISxtatrpwPPMwLjYbBQ8bp7l1Kb5kAixfN5MaNcHyOam9W37nTg2nT51KiRHFOHt+DqemHJCYmMvinAdSoZaM3rvp9lB37RbXqn7Fk2R+o1WpUKsGObR7sTfHgindp1KSZ+J05R1zcA1p17MUPX/emS6obirObRqNhwugZrN26BLVazab1Owi7cIXhY3/k/JlgPPd6sWndduYu+RVvf3fiYuMZ9M1o3fwNm9QjKjI6zYnYr5PnMHfJr0ya8TMx92IYMWhCtuRP1CSyfuJyRqyZgEqt4ujmQ0ReukXHYZ9z/fxlzh7wp/vYPpgUzM8Pi7VD9e5H3GP+gJmYV7Sk74yBJCoKKiFw/2sHkZcNc0L5su5wT/U9nzRpJAEp6g4Xl/mEJtUdPVPUHVu2unIunbpj6LAJrFm9AGNjI65eu8k332TtAk9W8g8dOgFX17Wo1WpWr95EaGgYEycOJyDgPO7unri4bGLlyrkEB3sTExNHnz6DdPNfvOhLoUKFMDY2wsmpDY6Ovbhw4RJ//jmZGjW0o7FnzJjL5cvXDJp5xPCJ7Nq9BrVazZo1mwkNvcT4CcM4ffo8Hu4HWO2ymeUrZnPuvBexsXH07fMTAAO/60P5CmUYM3YwY8Zq65AOTr25e/c+E8bPZPmK2fz++0Tu3Yth4MC3HKqll3cSO3ev0dVvafNuYvmKOQSeP0xsbDz9kvI2blKfESOS67dhQyfoGgmrXObR3LoRxYp9xMVLx5g+bS5rVm/OcrZ3eewD6NG9A7//sUgvR+dO7enVqysJCS94+uQpX/ZM+7j0rK7X5DG/sXrLYlQqFVv+2cWli1cZOuZ7zp8N4eDeI2xav5PZi6dx6NQu4uMeMHiA9gl+xT7+iNVbFpOYmMjtqLsM/378W2XJbN7pY2exbON8VGoVOza4cuXiNQaN/pbgwFAO7ztK9dpVmLfqd0yLFMLGvjk/jhqAc4svAFizaynlKpah4AcFOHjGlYnDpuHrZZinIabOOWbUVLbsWIFKreaftVu5eOEyY8YN5uzpIPbuOcT6NVtYvOwPTp31JC42ngH9h712uavWLaRo0SIkJLxg9IgpxMe9/raLPOU9+qerIqeu4AshygJuiqJUT3o/EvgQ2AksAQoCV4H+iqLECiFckspvFUJ4ASMVRfEXQvQHxgJRwFlArSjKICGEMzAHbYPoBFBfURSbpN9lBNwHGiiKcuFVOU0/KJ+n/tqPE569vlAu9OJ5xOsL5SKmH5R/faFc5P6NA68vlAtVqOyc0xGypJVp3rp/a13kiZyOkGVqlfr1hXIRtSqnB2BkXbr3MuZyT188z+kIWVLa9JOcjpBlBdSGu6/rXbn9xDAXl9+lew/C8sQX8OFgR4OfHxea75Yj655jPUOKolwHqqd4n/Lu2UbplO+X4rVNiterSP++n13ArtSfJ6mF9sEJr2wISZIkSZIkSZKUyhs+6Tg3ym3D5LKdEGIM8D3JT5STJEmSJEmSJCmz3qNhcnmv//4tKYoyU1GUMoqi+OR0FkmSJEmSJEmScs5/rmdIkiRJkiRJkqS3IHuGJEmSJEmSJEmS8jbZMyRJkiRJkiRJUqa9T/9PUjaGJEmSJEmSJEnKPDlMTpIkSZIkSZIkKW+TPUOSJEmSJEmSJGXee9QzJBtDr5HX/qu1SuSJf1yc5z3TJOR0hP+EK2EZ/d/k3Mu0lG1OR8i0wvk/yOkIWaZ5j/7RX26VP59xTkfIsg+N8+d0hCyJ/Pd+TkfIMk2iJqcjSFK2kI0hSfoPqFDZOacjZFlebAhJkiRJ0n+B8h71DMl7hiRJkiRJkiRJ+k+SPUOSJEmSJEmSJGXee9QzJBtDkiRJkiRJkiRl3nt0+6YcJidJkiRJkiRJ0n+S7BmSJEmSJEmSJCnT5AMUJEmSJEmSJEmS8jjZMyRJkiRJkiRJUua9Rz1DsjEkSZIkSZIkSVLmyQcoSJIkSZIkSZIk5W2yMWQg9vY2BJ0/QkiID6NG/phmurGxMevXLSYkxAefo66UKWMJQNGiRdi/bzMx9y8yd+40XfkCBfKzc+dqzp/z4uyZg0yfNlZmzoPs7Ww4f86LkOCjjBz5Q5rpxsbGrFu7mJDgoxz13q23jfft28T9exeYO+d/evO47l6L36l9nDl9gIULZqBSGe5r3KJVUw6f3I23vzs/DPk6nbxGLFrxB97+7uzyXI9lKXMAOnZ1YM+RLbqf6/cCqVr9UwCMjPIxc84kvE65cujEbto5tTZY3qwaP2M21g6f07HXdzmWITU7uxYEBh4iKOgII0d+n2a6sbExa9cuJCjoCN7eOyldWruPtGzZDF9fN/z89uHr60aLFk2yLWPL1s05EbCXU2c9GTzs23QyGrF81VxOnfVk36EtlCptoTfdwtKM65Fn+PGnrwCoWLEch3126X6uhZ9m4A99DZq5VWtrTp3eT0DgQYYOH5hOZmNWrJ5HQOBBPA9v1WWuW68m3sd2431sN0ePu+LgZKebZ+APfTl2yoNjfnv47od+Bs37NplfsrQ041Z0IIMGa7+7JibGHPDaxtHjrhzz28OYcUMMmte2VTOO+rlz7PReBg39Jp28RixZ+SfHTu/F/cBGLEub66ZVqVYZ1/3/4HV8N4d8d2JiYgyAkZERf8ydjI+/B0dPueHQwS7Nct82s4+fB8dfkXnpytkcP70XjwMbKZUqs9v+DRw57sph312YmBhToEB+1m1awtFT7hw57sq4ScMNmjc1O7sWnDt3mOBg7wyPKWvXLiI42Btv7126Y0qrVs05dswdf//9HDvmjo2NYesLe3sbgoK8CQ3xYdSoDM4n1v9FaIgPvj7J5xMAo0cPIjTEh6Agb+zsWujNp1Kp8Du1j507Vut9PnXqzwQHH+XcOS8G/fhVnsgMMHfO/4iNCXujvLmNkqgY/Cen5InGkBDCSwhh9Zoy/YQQC99VppRUKhXz5k3DqUNvatWypUcPZ6p8VkmvTP/+nxMbF0/Vqs2YP/9vZkz/BYCnT58xecof/Dzmf2mWO2fOUmrUtKF+g7Y0bmxFmza2/+nMec3LbdzBuQ+1arekR3dnPku9jft9TlxcHFWrNWf+guVMn5a8jadMmcWYMdPSLPfLnt9Tv0Eb6tRtzccfF6NLF0eD5Z32+zj6dv+BVo2d6dClHZU+La9XpkevzsTHPcDayoHlf61l7ORhAOzc6k67Ft1o16IbQ7/7hfCbkYQEXQTgpxHfcu9uDDYNnGjV2JkTvv4GyfsmOra3Y8nstNs0p6hUKubO/R/Ozn2pU6c13bp1SLOP9OvXg9jYeKpXb8GCBSuYPn0MAPfvx9K161fUr9+GAQOGs3LlnGzL+Nufk+jRZQBN67enc1dHKn9aQa9Mzz7diIuLp0FtO5YscmHSlFF606f9+gsHPb117y9fvoZtM2dsmznTyroTj588wd3V06CZ/5g9mW6dv6aRVVu6dHPk088q6pXp3bcb8XHx1KvVir8WrWLy/0YDEBoShm3zTlg36UDXjl8xZ/401Go1VapWom+/HrRq0ZnmjRxp086W8hXK5IrML03/bRwHUmznZ8+e4+zQm+aNnbBu7ESr1s2xql/bYHlnzBpPz64DadHQiY5d26fZL77o3YX4uAc0qduWZYtXM37yCADUajULl/3Gz8OnYNO4A10c+5KQ8AKAISMHcu9uDM2s2mPd0InjPn4Gyfsy86+zJvBl12+xbuhEp64OaTJ/2bsrcXHxNK7blqWL1zB+8khd5kXLfmf08Mm0aOxE5xSZ/1q4kuYNHGht3Zn6DevQsnVzg2VOnX/evGk4O/eldu1WdO+efn0RFxdPtWrWLFiwnGlJFyXv3YuhS5evsLKy55tvhrFixVyD5po/bzpOTr2oWcuWz3t0pEoV/Vxf9f+CuNh4qlRtxrz5fzNjxjgAqlSpRI/uztSq3RJHx54smK9/gW/wT98QeuGS3rL69ulOKUtzqle3pmZNGzZt3pXrMwPUq1uTIkUKZzmrlP3yRGMot6tfvzZXrlzn2rWbJCQksHnzLpyc7PXKODnZs3btFgC2bXfH1rYZAI8fP+HYMT+ePn2mV/7Jk6ccOXIMgISEBM6cDcLCwuw/nTmvSbONt+xOfxuv2wrA9u3u2No2BVJs42fP0iz34cN/AciXLx/GxkYoimGuptSuV4Pr125y80Y4CQkvcN2+B/t2+o1Z+/a2bN24GwCPXZ40tW6YZjnOXdqxa5uH7n33np1YNHc5AIqiEBsTZ5C8b8Kqdg0KmxbKsd+f2st95Pr1WyQkJLBliyuOjvpXwh0d7Vi/fhsA27d7YGOj3UcCA4OJiroDQEhIGCYmJhgbGxs8Y12rmly7eoMbSRl3bHOnnYN+7147h1Zs3LADgN0799LcpnGKaa25cf0WFy9cTnf51jaNuX7tJuG3Ig2WuZ5VLa6myLx9qzvt02RuzYb12sy7duylRVLmJ0+eotFoADDJb6L7flX+tCJ+p87qpvv6nMIx1fc5pzIDtHdszY1rt7gQqn8S9ujRY0DbQ2tkZLj6ok69Gly/+rK+SGDXtj20ad9Sr0zb9i3ZvGEnAG679tO8RSMAWrRsSmhQmO6CSWxsPImJ2hsQPu/Ziflz/ga09UWMAeuLOvVqci1F5p3bPNJkbtO+JZs37ErKvI9mSZltWjYlJOhiisxxJCYm8uTJU3yPngK0x73z50IwMy9psMwppT6mbNnimu4xZZ3umOKhO6Zo64vbgLa+yJ/fcPVFg/p19HJt2rwLJ6c2aXLpzie2udMy6XzCyakNmzbv4vnz51y/fosrV67ToH4dACwszGjXrhUrV27QW9bAgX2YNn2Obl++e/d+rs+sUqmYOXMCY8bmnotxby0xG35ySLY0hoQQo4UQg5NezxFCHEp63UoIsU4IYS+EOC6EOC2E2CKE+DBpej0hxBEhRIAQYp8QwizVclVCiNVCiGlJ7/sLIcKEEEeApinKOQkhTgohzgghDgghSiTNe0kIUTzFsi4LIT5+2/W1MDcj/FaU7n1ERDTmqRoBFuYlCQ/XltFoNMQ/eECxYh9lavmFC5vi4NCaw4d93jZqns6c15ibl+RWePIJXkREFBapDpLm5iUJTyqj0Wh48OBhpraxm+s6wm+d4eG/j9i+3d0geUuafUJkRLTufVTkbUqYlciwjEaj4eGDf/moaBG9Mk6d2rJr+x4ATJMaHiN/GYT74U38tepPPi5ezCB53wfmKb5jkLSPWGR9H+nUqT2BgcE8f/7c4BnNzEoQGZ68X0RGRmNmXiJNmYgUdcWDBw8pWvQjChYswOBhA/hjZsad9p26OLB9q2H2YV0e8+Q8AJERaTObm6fKHP8vRZO2az2rWhzz24PvSXeGD5mARqMhNCSMJk3r81HRIhQokB87exssLA13sedtMhcsWIAhwwby268L0ixXpVLhfWw3YddO4nXIhwD/QIPkLWlWggi9+iKakmafpCmTsr7Q7hdFqFCxDAoKG7YtY/+RrfwwWDvMybSwtr74edxP7D+ylWUucwxaX5ilU8eZmaXdlyMjkrfxw6TM5SuWRQE2bPub/Ue28ePgtMOITQsXwr6tLUePHDdY5pRS1gWgrS/M0+wj776+MLdImyvNsc4i+Xio0WiIj9eeT1ikt05JdeCff05h7NhpuobyS+XLl6Vbtw6cOO6B6+61VKxYLtdn/vGH/ri57Sc6+k6Ws+ZWcpjc63kDL/uJrYAPhRBGQDPgPDAeaK0oSl3AHxieNH0B0FVRlHrASmB6imXmA9YDYYqijE9qKE1B2wiyA6qmKOsDNFIUpQ6wERitKEoisA7omVSmNRCoKMq91OGFEN8KIfyFEP6JmkevXVkh0n6W+uqbSKdQZq7QqdVq1q5dxKJFK7l27eZry2dWXsyc12Rm+2Xm75AeR6delClrhYmxse7K39vKXN5Xl6ldrwZPnjwlLFTbC6DOp8bcoiT+J8/gYNuDAL9Axk8dYZC87wNDfA+rVKnEtGljGDQoe+7Re+P9AoWffxnMkkUuut6J1IyMjGjbvhW7d+wxTNhX5Un9vXpFmQD/QJrUb0erFp0ZNuI7TEyMCbt4hXlzlrFj92q27lxJcFAoL15ockXmMeOG8NeiVelu58TERKybdKDap82oa1WLKlUrpSljsLyZKaMoqNX5aNCoLj8OGI1z2160c2xNM+tG5FOrsbA0w+/kGexbdCXA7yyTpo1KswzDZs7M9w3yqdU0bFSXHweMwrltT13ml9RqNUuWz2L50nXcvBFusMyvz5bV+qIy06ePNWh98ea5Mp63ffvW3L1zj9NnzqeZbmJizNOnz2jUuD0rVv7D38v+zNWZzcxK0KWLIwsXrcxyTundyK7GUABQTwhRCHgGHEfbKGoOPEHbcPEVQpwF+gJlgE+B6oBn0ufjAcsUy1wKBCmK8rKB1BDwUhTlrqIoz4FNKcpaAvuEEOeBUUC1pM9XAn2SXn8FrEovvKIoyxRFsVIUxUql/uC1KxseEYVlqeQrhBYWJYmKjE5bJukqolqtprCpaaa6//9a/BuXL19jwYIVry2bFXkxc14TERFFKcvkm28tLMyITBqmkFwmGsukMmq1GlPTQpkeFvLs2TPc3D1xcjTMUJ2oyNu6q1ugvVJ9J9VVrJRl1Go1hUw/JC42Xje9Q2f9IXKxMXE8fvSYvW4HAXDftY/qtaoYJO/7QPv3T/k9NCMyMvU+EpXhPmJhUZJNm5bxzTfDs+3CQ2RkNOaWyfuFuXlJoqPupCljkaKuMDUtRGxMHHWtajFp6ihOnz/EwO/7MnTkd3z9bS/dfK3trDkXGPxGw1xemTkiWq/XxtwincwRqTIX/jDNEM6wi1d4/PgJVapWBmDdmi3YNHPGoc2XxMbEc/XK9VyR2ap+Lab8bzSBwV58/0M/ho/8ngEDe+vN+yD+IT5HT9KqtbVB8kZFRuv1YpqZl+R2VOr6IlqvvjA1LURsbDxRkdEc9/UjJiaOJ0+ecsjTmxq1qhKTVF94uB4AwHXnPmrUrIqhRKZTx6W3L78cJaGt4woRGxtHZORtvcwHPb2pWSs526x5U7h69QZ//7XGYHlTS1kXgLa+iEqV/3X1xebNy/j662FcvXrDcLnC0+ZKc6wLTz4eqtVqChc2JSYmNuk8I9U6Rd6mSRMrHB3tuRR2gvXrFmNr25TVLvMB7bnJjh3a3uSdO/dQo0bWjynvMnPt2tWpUKEsF0J9uRR2goIFCxAa8h6MmpHD5F5NUZQE4DrQHzgGHAVsgQrANcBTUZTaST9VFUX5GhBAcIrPayiKkvIs7xhgK4TIn/JXZRBhAbBQUZQawEAgf1KuW8BtIURLtI0pg1yO9PcPpGLFcpQtWwojIyO6d3fGzU3/ZmA3N0969+4GQJfODnh5+b52uVMmj6JwYVNGjJhkiJh5PnNeo93GZZO3cbcO6W/jXl0B6JyJbfzBBwUpWVI7FEWtVtO2TUsuXkz/XoysCjwdRLnyZShV2gIjo3w4dW6H514vvTKee7zo+nkHANo723Esaaw8aK+WOTjb47p9r948B/YdoXGz+gA0tW7EpYtXDZL3ffDye1imjHYf6dbNCXd3/X3E3f0APXt2AaBz5/a6+/IKFzZl+/ZVTJz4O8ePZ99DKc4EnKd8+bKULmOJkZERnbo4sNfjoF6ZvR6H+PyLTgB06NhWN0zIqe2X1K3Rkro1WrL0r9XMnbWEFcvW6ebr3M2R7VvcDJ75dMA5KlQoo8vcuasDe9JkPsgXPbWZnTu1xfvICQBKl7FErVYDUKqUORUrlePmzQgAPi5eFNA+tc3R2Z6tW1xzReb29l9Qq5oNtarZ8NdiF2bP+ou/l66l2MdFdUPP8uc3wca2CZfCDPP9O3s6iHIVylCqjAVGRkY4d2nHvj2H9crs23OY7l90BMDR2R4f75MAeB30pWq1TylQID9qtZpGTesTllSP7d/rRZPmDQBo1qIRYRevGCSvNvN5ylcoQ+mkzB27tGd/qsz79xym+xfOSZnb4Ot9IimzD1VSZG7ctL4u28/jhlDItBATxvxqsKzpSX3c7tbNKd1jSi/dMaU9Xl7J9cWOHS5MmPCbwesLP/+zerl6dHfGzW1/qlz7k88nujhwOOlY5+a2nx7dnTE2NqZs2VJUrFiOU35nGD9+JuXKW1GpciN69vqBw4d96dtvMAC7d+/FNuneSWvrxly6lPV9+l1m3rPnIKVK16FS5UZUqtwo6QJLsyxnlrJPdv7TVW9gJNoemPPAbLQ9RieARUKIioqiXBZCFETbk3MRKC6EaKwoyvGkYXOVFUUJTlreCsAa2CKE6AScBOYJIYoBD4BuwMvB0IWBiKTXqZ/XuhztcLm1iqIYZIyDRqNh6NAJuLutR6VWsdplEyGhYUyaOJKA04G4uXmyatVGXFbNIyTEh9iYOHr1Tn4kZtjF45iaFsLY2IgOTm1wcPiSBw//ZezYIVy4cIlTJ7Unl4v/cmHVqg0ZxXjvM+c1L7exm+s61Go1Lqs3ERoaxsSJIzgdcA43d09WuWxk1cq5hAQfJSYmjt59kh/vefHiMUwLabexk1MbHBx7EhMTy7atKzExMUatVuHldYxlf697RYqs5Z0wegZrty5BrVazaf0Owi5cYfjYHzl/JhjPvV5sWreduUt+xdvfnbjYeAZ9k/w0q4ZN6hEVGZ1miMivk+cwd8mvTJrxMzH3YhgxaIJB8r6JUZNm4nfmHHFxD2jVsRc/fN2bLqlumn2XNBoNw4ZNxNV1DWq1mtWrNxMaeokJE4Zz+vQ53N0P4OKyiZUr5xAUdITY2Dh69x4EwHff9aVChbKMGfMTY8b8BICTU2+D97JoNBrGjJrKlh0rUKnV/LN2KxcvXGbMuMGcPR3E3j2HWL9mC4uX/cGps57ExcYzoP+w1y63QIH8tLBtwvAhht8fNBoNo0dMYdvOVajVatav3cKF0EuMHT+Es6eD2ONxkLWrN7Nk+Z8EBB4kNjaOr/sNBaBxYyuGjBjIi4QEEhMVRg6bRMz9WADWrF/ER0U/4kVCAqOGTyY+7kGuyJyRkiWKs3jZH6jVKlQqFTu2e7Bv7+FXzpOVvL+Mms6GbX+jVqvYuG4HYRcuM+qXQQSeCWb/nsNsWLuNBUt/49jpvcTFxvHdV9ons8XHP2DpotXsObQZRVE46OnNwf3ap+BNnzybBUtnMvXXMdy/F8uwH8cZJG9y5mls2LYctVrFhnXbuXjhMqN/+YmzZ4LYv+cw/6zdysKlv3H89F7iYuMZ+NWIFJld2Htoiy7zgf1HMDMvwbBR3xF28Qqe3toHnaxc9g//rN1qsNwp8w8dOgFX17VJ9cXLY8pwAgLO4+7umVRfzCU42JuYmDj69NHWF99/r60vxo4dzNix2kaFo2Mvg9QXGo2GIUPH4+7+D2qVCpfVmwgJCWPSpJEEBGjPJ1au2oiLy3xCQ3yIjY2jZy/t+URISBhbtrpyLvAwLzQaBg8Zl+Z+m9R+/30Ra1YvZMiQAfz772MGfpf1oZTvOvP7SHmPVlkY6skyaRYsRCtgL1BEUZRHQogwYImiKLOTemZ+A0ySio9XFGW3EKI2MB9tYyYfMFdRlL+FEF7ASEVR/IUQU4DKaO/96QuMBaKAs4BaUZRBQghnYA7aBtEJoL6iKDZJuYyA+0ADRVEuvG49jE0sc+6Orv+Q58+yZ4x1djHJXyqnI2RJiYJFXl8ol7kSlvXHpeYGpqXyzuPkPzAyeX2hXEbzHzzpeNfy5zP8UwmzW+p7f3K7uKevvx85t9EkGu4eOSljCc8j0rmbNPe579DC4F+6Yu5HcmTds61nSFGUg4BRiveVU7w+BNRPZ56zaHt/Un9uk+J1yvFXq0jnvh9FUXYBGZ1J1UL74ITXNoQkSZIkSZIkSXp/ZecwuVxHCDEG+J7kJ8pJkiRJkiRJkpQF79Mwuf/UP11VFGWmoihlFEV5Dx7jIUmSJEmSJEnS2/hP9QxJkiRJkiRJkvSWZM+QJEmSJEmSJElS3iZ7hiRJkiRJkiRJyjR5z5AkSZIkSZIkSf9JSqLhfzJDCNFWCHFRCHE56cFo6ZXpLoQIEUIECyH+ed0yZc+QJEmSJEmSJEm5mhBCDSwC7IBwwE8IsVtRlJAUZSqh/R+kTRVFiRVCfPK65crGkCRJkiRJkiRJmZZDw+QaAJcVRbkKIITYCDgDISnKDAAWKYoSC6Aoyp3XLVQ2hl5DUfLWf7WW3o3ExLw1WLaVaeXXF5IM4sGtwzkdIUtqVv08pyNkye0nsTkd4b33KOFpTkfIsmeahJyOkCXnylbP6QhZtubpRzkdIctm3/bN6QiSYVkAt1K8DwcapipTGUAI4QuogcmKoux91UJlY0iSpFzJtJRtTkfIsrzWEJIkSZKkN6IIgy9SCPEt8G2Kj5YpirIsZZH0kqR6nw/BpNKvAAAgAElEQVSoBNgAlsBRIUR1RVHiMvq9sjEkSZIkSZIkSVKmZccwuaSGz7JXFAkHSqV4bwlEplPmhKIoCcA1IcRFtI0jv4wWKp8mJ0mSJEmSJElSbucHVBJClBNCGAOfA7tTldkJ2AIIIT5GO2zu6qsWKnuGJEmSJEmSJEnKNCXR8MPkXvs7FeWFEGIQsA/t/UArFUUJFkJMBfwVRdmdNM1eCBECaIBRiqLcf9VyZWNIkiRJkiRJkqRcT1EUD8Aj1WcTU7xWgOFJP5kiG0OSJEmSJEmSJGVaDj1aO1vIxpAkSZIkSZIkSZmmZMPT5HKKfICCJEmSJEmSJEn/SbJnSJIkSZIkSZKkTHufhsnJniFJkiRJkiRJkv6TZGPoLdjb2xAU5E1oiA+jRv2YZrqxsTHr1/9FaIgPvj6ulCljqZs2evQgQkN8CAryxs6uhd58KpUKv1P72Lljtd7nU6f+THDwUc6d82LQj1/leN7KlSvg77df93P/3gUG//QNAF26OHL27CGePb1Fvbo1s5w1L3uX+8WypbMI8PfkdIAnGzcu44MPChp0Xaq3qM2Mg/OZ6bWQ9t93SjPd/msnpnnOZeqe2YxaP4liFsV101Zc2cwUj1lM8ZjF4L/HGDRXRuzsWhAYeIigoCOMHPl9munGxsasXbuQoKAjeHvvpHRp7bZv2bIZvr5u+Pntw9fXjRYtmryTvK8zfsZsrB0+p2Ov73I6ik4z20Z4HNvC3pPb+OanPmmmWzWqw7YDazgfeQx7x5Z605ZtnMfJSwf5a93sbM/ZqnVzTp7eh//ZAwwZ/m2a6cbGxqxwmYv/2QN4Hvo/e3ceH8P9x3H89d1NQpSEKDkRhLoFcRMSxJHEfdVR2qL9qVI3dVZR1dJSVVV1a91n4qj7VlfiChJHkFvkcAXJZn5/7Npkc1Sim0T0+3w89mF35zOz74zvzu7M9zuzGylV2t5gur2DLXfD/Rky9GMAnCqU5fDx7frbnVA/Ph3c/43ODGBhWYTlq37i1LndnDq7m7r1nI2Wt2UrV8757cP/4gGGj0zfRs3MzFi2Yj7+Fw9w4NBmSuvy1qlTg2MnfTh20ofjp3zx8vYwmE+lUnH0xA7Wb1xitKwvebRqzqWLhwi4cpRRowZnmHn1qoUEXDnK0SPb9dtnK6ui7NmzjgfR1/jxh6/19ebmBdm6ZTkXLxzE7/w+pn+ds9u6Qk3qUHbXb5Td8ztWA7ulm27RqSXlT6ylzJYFlNmyAMuurQ2mq94pRLnDqyg5Kf32MSdUaFaDL/Z/z4hDc3H9n3e66fV6t+Dz3bMYsnMmAzdMoYSTto2YFy3Mx39OYPKVpXh/1T/Hc+bEZ8fUqaMJCjrJ/fsBOZ4/LyjJwui3vJJrO0NCiGDdjx+lff5ETr9GTlCpVMyfNwNv7z7UqOlGzx4dqVy5gkHNRx++T1xsPJWrNGHe/N+YOXMCAJUrV6BH9w7UdHbHy6s3P82fiUqV8l8x9PMBXL0WZLCsfh90p5SDHdWquVKjRnPWrd+W53kDA2/iUtcDl7oe1KvfhqdPE9i6bRcAV65co3v3gRw9eipbOfO73G4XI0dNpY5LK2rXacW9u6EMHvyh0f4WoVLRd9pAfug/gwmtvqB++ybYOTkY1NwNuM007zFMbjuCs7tO0X18X/20F89eMKXdKKa0G8X8gbOMliszKpWKH3/8mg4d+lGrVku6dWtPpUqG675//x7ExsZTrVozfvrpd2bM0H5xefAglq5dP6Ju3dYMHDiCpUt/yPG8WdGxXSsWzZ2e1zH0VCoVk74dw6D3h+HdpAeenVtTvmJZg5qw0AjGD52G7+a/0s2/9OfVjP1sSq7knD1nKt07D6Bh3bZ06erFe+85GdT0+aArcXEPcXFuyS8/L2PqtNEG02fOmsD+vUf0j28E3aZZ4/Y0a9wet6YdeZqQgM+O9H/jm5QZ4JvZE9m/7wgN6rShaUNvrl+/abS8c+Z+RZdOH1K3Tmu6dvPmvUqGeT/o1524uIc413Dn5wVL+errsQAEBATSrEkHmjT0onPH/sz7aTpqtVo/3/8++5BAI+VMm3nevOm07/ABNZ3d6dG9Q7ptxIf9exIXF0eVqk2Z/9MSZkz/EoBnz57z1VffM25c+vfjDz/+So2abtSr35aGjerS2qO50bPr/gCsJ39GyMBJ3Pb6hCKezTErXzpd2aNdh7nTaQh3Og0hfuMeg2nvDutLwplLOZMvDaESeE/7kBX9ZzOv1WhqtG+k39l56cK2E/zUZhwL2n3J0V930G5SHwCSnieyb85Gds9ck+M5c+qzY+fOfTRt2iHH80v/Xq7sDAkh1JlNUxTlzTgEm0316tbi5s1gbt++S2JiIuvWb8Pb2/AIjLe3B6tWbQBg0yZf3N2a6J5vzbr123jx4gXBwfe4eTOYenVrAWBvb0vbti1YuvRPg2V98skHTJ/xA9rLp8P9+//4+1G5lvcld/cm3Lp1h7t3QwG4du0GgYHG/zB70+V2u3j06LH+vrl5QX37MIZyzk5E3Yng/r1INIlJnN5xjFoedQ1qrp28zItnLwC46RdIMZviRnv97Kpb15mbN4MJDr5HYmIiGzbswMurlUGNl1cr1qzZBMDmzTtp3rwxABcuXCE8PArQflErUKAAZmZmufsHZMDFuTqWFkXyOoZejdpVuXs7hJA7YSQmJrFzy1+4t3E1qAm7F05gwA2Sk9MPKD919AxPHj/N8Zx1XGpw+9Yd7ujawuZNvrT1amFQ086zJWv/2AzAtq27cW3eMGWaV0uCg+9x7arhwYeXmjVvRPDtu4TcC3ujMxcpUphGjeqyaoV2e5OYmMjD+EdGyeviUpNbt+7o32+bNvrgmeb95unVkj9177etW3bRvLn24z4h4RkajQaAggUKkHqzZWdnQ+s2bqxYvs4oOVN7uY14uX1ev2E73ml6pby9PVi1eiMAmzf74uam3UY8fZrAiRNnePb8uUF9QsIzDh8+CWjXr7/fJewdbI2eHaBgjYok3g0jMSQCEpN4tPMwhVs0yPL8Bao6oS5ejCfHz+dIvrQcnJ2IuRNJ7L0oNIkaLu44SWWPOgY1zx8n6O+bFSrAy8aQmPCcO2evk/g8Mcdz5tRnx+nTfkREROV4/ryiKMa/5ZVX7gwJIcYIIYbq7v8ghDigu99CCLFaCPG+EOKSEOKyEOLbVPM9FkJME0L8DTRM9by5EGK3EGLgyzrdv82FEIeEEBuFENeEEGuEEEI3rZ3uuWNCiPlCCB/d88WFEH8JIfyEEL8CItXrbBVCnBNCXBFCDNI997EQ4odUNQOFEK81XsPO3oaQkJQPwtDQcOztbNLV3NPVaDQa4uMfUrx4Mezt0s9rZ6+dd86crxg/fnq6LxLlyjnSrVt7Tp3cyY7tq3ByMjwam1d5X+rRvQPr1m3NVqa3UW63C4Alv80l5J4/773nxM8/LzXa31LM2oqYsGj945jwGIpZZ76z49q9BZcOpXzImhYwY/L2b5m45RtqedQzWq7M2NnZEBISrn8cGhqOfZp2apdqHWs0Gh4+fETx4sUMajp1aseFC1d48eJFjmfOb0ralCAiNFL/ODI8CmvbEv8wR96wtbUhNDSlLYSFRmBra21YY2dNaEgEoGsL8Y+xKl6MQoXMGTZ8ELO/+SnT5Xfu6smmDT5vfOYyjqWIjo5hwaJvOXRsG/MWzKBQIXPj5E3zfgsLDccug7wva16+36x07zcXl5r8fWY3J0/v4ouhE/U7R7NmT2LyhFkZbuv+LTu7lG0vZLJ9zsI2IjOWlhZ4erbk4MHjxgudion1uySG39c/ToqIxiSDbXKRVk1w3LYQu3kTMLHRDZYRgpJjB3L/O+MPPcyMhXUx4sNSDtw+DI/B0toqXV39vq0YcfgHWo/rhc/UlbmW7yX52fF6/mvD5I4ATXX3XYDCQghToAkQBHwLuAPOQF0hREdd7TvAZUVR6iuKckz3XGFgB/CHoii/ZfBatYAvgCpAOaCxEKIg8CvQVlGUJkDqT94pwDFFUWoB24HU/cUfKYpSR5d5qBCiOLAWaK/LD/AhsCxtCCHEICHEWSHE2eTkJxmuFN1+moG0R+Uzrsl83nbtWnI/Kprzfum7sAsUMOPZs+c0aNiO35f+wW+L52SYKzM5kfclU1NTvLw82LjJuF8O8qPcbhcAAwaOoHSZ2ly7FkT3bu1fM3kGsvC3vNSwoyuONcqza3HK8M1RjT5hWvux/Dr0R3pN/pASpa0znNdYMoibxXWfUlO5cgWmTx/HkCHjjZ7vbZBZ233T/Ju2MG7CUH5ZsIwnTzLuwTI1NaVNO3e2bdlllKwpedI/928zm5ioqelclWVL/qB5kw48fZLAFyM+yb28ZFgEwNmzF6hftw3NXTsyctT/KFDAjDZt3Im+/wB//8tGyZhW1rbPGUV+dSNXq9WsWrmAn39exu3bd187Y7alifb44N/catGf4A6DeXLCD5tZIwEo2suLJ4fPkBQRnX4ZOSQr6xvg71V7mdtsOHtm/Unzzzumm57T5GeHlJWdoXNAHSFEEeA5cBLtDkZTIA44pCjKfUVRkoA1wMsxExpgU5plbQOWKYqS2a7/aUVRQhRFSQb8AUegEnBLUZTbuprU44RcgdUAiqL4ArGppg0VQlwATgGlgAqKojwBDgBeQohKgKmiKOm+YSqKslhRFBdFUVxUqncyDBoaEo6Dg53+sb29LWHhkelqSulq1Go1lpYWxMTEEhKaft7wsEgaNXLBy8uDoMBTrFm9EDe3xqxYPh+AkNBwtmzxBWDr1l1Ur145k1WYsZzI+1KbNm74+V0iKir3NrJvqtxuFy8lJyezfsN2OnXyNNrfEhvxACu7lFPwrGytiIuKSVdXpXENvIZ0Yd6Ab0h6kaR/Pi5K+3a8fy+Sa6euUKZq9nozsys0NAKHVMNT7O1tCQtLs+5TrWO1Wo2FRRFiYuJ09TasW7eYAQNG5O6XmXwkMjwKG/uUnVpr25JERdz/hznyRlhYBPb2KW3Bzt4m3XCVsNAI7B20R3/VajUWloWJjYmjjktNpn49Bv/LB/l0cH+Gj/yUAYP66Odr6eHKRf+AbA9VzovMYaERhIVGcO7sBQC2bdtNDeeqxsmb5v1mZ29LeNq8YSk1ad9vLwVev8mTJ0+pUuU96jesQ1vPFlwKOMKyFfNxbdaQ33433sU2QkNTtr2QyfY5NCLTbcQ/WbjwW27cuM1PC343Wt60kiKjMU3VE2ti8y5JUYbtMDnuEUqidmhZ/IbdFKyqPffF3LkyRXt7U27/ckqMGYBFh5a8O8J455hmJD4iBku7lJ4rC1srHkbFZlp/acdJqrRyydFMGZGfHa/nP9UzpChKIhCMthflBHAUcAPKA//0v/5MURRNmueOA21FRrvYWqkH42rQ/g7Sq9ZOusMMQojmQEugoaIoNQE/oKBu8hKgP5n0CmXVmbP+ODmVxdGxFKampvTo3gEfH8OTaX18/qJvX+3VXrp08eTgoeP653t074CZmRmOjqVwcirL6TN+TJw4i7LlXKhQsQG9+wzm4MHj9Os/FIDt23fjphuj6urakKCgW3me96UePTrKIXI6ud0uypd31C/Xy7MV16/fMNrfcvvCDUo62vKuQ0nUpibU826C396zBjWlq5al38xPmD9gFo8ePNQ/X8jiHUzMtD9jVrhYESrUqURYUIjRsmXk7NkLODmVpUwZ7brv1s0bX9+9BjW+vvvo3bsLAJ07t+PwYe31WywtLdi8eRmTJ8/m5Mmz6ZYtaV3yC6BMuVLYl7bD1NSEdp08OLjnaF7HSuf8uUuUK+9I6TIOmJqa0rmLJ7t99xvU7Nq5n569OgPQoWMbjh7WXuzFs3UvnKu54VzNjUULl/PDnEUsWbxaP1+Xrl5s2mj8XvCcyBwVFU1oaDhOFbQHIpo1a8j1a8bZRpw7d5Fy5R0po8vbpasXO333GdTs9N3P+7r3W8dObfXn1pQp46C/YEKpUnZUqFiOO3dD+GrKd1Su2JjqVVz5sN9Qjhw+ycCPRxglL7zcRjjqt8/du7XHx8dwG+Hjs5e+fboC0LmzJ4cOvXrI29Spo7G0KMLIUVONljUjzy4FYlrGDlN7azA1oUi7Zjw+YHiRInWJlKFbhd0b8OLmPQDCR8/mlns/brXoz/3ZS3i4bR/Rc1/7K1CWhF64SXFHG4o5lEBtqqaGd0Ou7T1nUFPcMWU42nvutXgQHJGjmTIiPzukrP7o6hFgFPARcAmYi7bH6BTwo+4KbrHA+0DmA61hMjAJWAhk9bqO14ByQghHRVGCgR5pcvUGpgsh2gIvtwKWQKyiKE91PUD6MwwVRflbCFEKqA289jWfNRoNw76YiK/vH6hVKpavWEdAQCBTpozi3LkL+PjsZemytSxfPp+rAceIjY2jdx/tZTwDAgLZsHEHFy8cJEmjYeiwCa8cHz179s+sXLGAYcMG8vjxUz75dPQ/1udWXnPzgrRs4crgwWMNXq9Dhzb8+MN0SpSwYtu2lVy4cAVPr97Zypwf5Wa7EEKw9PcfsbAoDEJw6WIAnxmxiz5Zk8yayUsYuXISKrWKo+sPEBZ0j47DexJ86Qb++87SffwHFChUkMELtUMxHoRGM3/gLOycHOg38xOSFQWVEPj+soWwGzm7M6TRaBg+fDI7dqxErVazYsV6rl4NYtKkEZw/fxFf330sX76OpUt/4PLlw8TGxtG37xAAPv20H+XLOzJu3OeMG/c5AN7efY1+9D+7Rk+ZxRm/i8TFPaRFxz4M/rgvXdJckCM3aTQapo/7jiXr5qNSq9j8xw5uXL/F52MHcdn/Kgf3HKWac2V+Wj4bC0sL3Dya8vmYQXi79gRg1fbFlHMqQ6F3zDnov4OJw2dw/KDxrzip0WgYM+orNm5dilqlZs2qjVy7doPxE4bh53eJ3TsPsHrlBhb99j1n/fcRGxvHgA+Hv3K55uYFae7emOHDJuWbzGNHfc2vS+ZgZmZKcPA9hvzPOJd+1mg0jB45lS3bVqBWq1i1cgPXrgYxYeIXnD9/iV0797NyxToWL5mL/8UDxMbG82E/7UGcho1cGD7iUxKTkkhOTmbEF5OJeZB5j4GxaDQavvhiEj47VqNWq1m+Yh1XrwYyefJIzp+7iI/vXpYtX8uypT8ScOUoMTFx9P0g5ecRrl8/gUWRIpiZmeLt3RpPr948evSI8eOGcu1aEH+f0g6d/GXRcpYtW5sDf0AyUV//gsPv00GlJn7TX7y4cZfin/fl2eVAnhz8m2J9O1DYrQGKRkNy/CMixmdvSL0xJWuS2TF5Of1XjkOoVZxff4iooFBaDO9K6KVbXNt3ngb9PCjfuBrJSUkkxD9h48hf9POPOjaPAoXNUZuaUNmjDsv6zuL+jVCj58ypz44ZM8bTo0cHChUy58aNUyxbtpYZM340ev688iYOkX5dIitjYYUQLYDdQFFFUZ4IIQKBRYqizBVC9ALGo+3B2akoyhjdPI8VRSmcahnBaIfXPQCWAvcVRRnzsk7XmzNKURQvXf0C4KyiKMuFEN7Ad0A0cBqwVhSlt+48oD+Bd4HDQGegDvAI2ArYA9fRnmc0VVGUQ7pljwOcFUXp+aq/3dTM/i36735zJb4w/gYuJ5ma2b+66A3Sxy7rVxx6U6yNzH9H2R7eO5jXEbKtRpVXbgbfKJEJOf+l+b8uKTntoI4333NNzl91zJguOlbL6wjZtvJZ1i4k8SaZG5kzF7PISQkJd/JuvFg23KruYfTvx+Uu/ZUnf3uWeoYURdkPmKZ6XDHV/T+APzKYp3Cax46pHn6Ytk63o3Io1fNDUtUfVBSlkm543c/AWV3NAyD1dTFTHyZr+w9/UhPgzfghEUmSJEmSJEmS8kSu/ejqvzRQCOEPXEE7BO7X11mIEKKorlcrQbeDJ0mSJEmSJElSNiiKMPotr2T1nKE8pSjKDxihJ0dRlDig4isLJUmSJEmSJEl66+WLnSFJkiRJkiRJkt4MivF/FznPyJ0hSZIkSZIkSZKyLDkPh7UZW345Z0iSJEmSJEmSJMmoZM+QJEmSJEmSJElZlpcXPDA22TMkSZIkSZIkSdJ/kuwZkiRJkiRJkiQpy5Tkt6dnSO4MvWUKmRXM6wj/Cdrf/80/VoedyusI2WZZ8J28jvCfcDFgbV5HyLZKlbrmdYQsU+WzbQXAwXKWeR0h21rdfpzXEbLl52cWeR0h2xJJyusI2TbaukleR5DyAbkzJEmSZCQ1qvTM6wjZkh93hCRJkqS8pyh5ncB45M6QJEmSJEmSJElZ9jYNk5MXUJAkSZIkSZIk6T9J9gxJkiRJkiRJkpRl8kdXJUmSJEmSJEmS8jnZMyRJkiRJkiRJUpa9TT+6KneGJEmSJEmSJEnKsrfpanJymJwkSZIkSZIkSf9JsmdIkiRJkiRJkqQskxdQkCRJkiRJkiRJyufkzpCReHg05/LlI1wNOMbo0Z+lm25mZsaaNb9wNeAYx4/toEwZB/20MWOGcDXgGJcvH6FVq2YAVKxYnrNn/tLfHkRfY+jnA4yauUVLV86e34vfhQMMH/FJhpmXrZiP34UD7D+4idKl7QGoXacGR0/s4OiJHRw76YOXt4d+HkvLIqxcvYAz5//i9Lk91K1Xy6iZ8wMPj+ZcvnSYgIBjjB6VSVtYvZCAgGMcO5qmLYz+jICAY1y+dFjfFgCGDPkYv/P78Pfbz+eff6x/fs3qhZw5vYczp/cQeP0kZ07veb28Rmy7AJaWFqxdu5hLlw5z8eIhGtSvY7DM4cM/IfFFKMWLF8t23rTcWzbl1LndnPbfy9DhgzLIb8qSZT9y2n8vew5soJSuHb9k72BLcJgfn33+EQBOTmU5eGyb/nY75DyfDO73r3NmpolbA3ae2MDuvzcx4PMP0k13aVCLTftWcinsBB5e7gbTFq+dx99B+/ll9dwcy5ddE2fOxdWzJx37fJqnOVzdG7H31GYOnN7GJ0P7p5tuZmbK/CWzOHB6G5v2rMC+lC0ApqYmfDt/KjuPrMPn0FrqN05puyO//IxjF3ZyMfhYjmRu6t6QPSc3se/0VgZlkvnH375h3+mtbNxtmHnW/Cn4HF7H9oN/Uq+RNvM77xRi+8E/9Le/r+1nwvSROZK9QIO6WK9fgc3GVRT54P100wt5tsZ292ZKrlpMyVWLKdS+nX6a5ZBBWP+5FOu1y7AcMSRH8mUkP773KjeryYT9PzDp0Dxa/q9DuuluH3vy5d45jN01m8/WTKSY/bv6ae3H9Wb8X9/z5b65dJnSP1fyVmlWk6n7f+SrQ/PxyCBvi489mbx3LhN2fcewNZOw0uWt2LAqX+6crb/Nv76amh51cyWzU7MaDN3/HcMOzaHp/7zTTXfp3YLPds/ifztn8vGGyZRw0n6mlG9SjU93TOez3bP4dMd0yjaskit584qiCKPf8sobsTMkhOgvhLBL9ThYCPHuP83zmq+zUwhRVHcbbKzlqlQq5s+bgbd3H2rUdKNnj45UrlzBoOajD98nLjaeylWaMG/+b8ycOQGAypUr0KN7B2o6u+Pl1Zuf5s9EpVIRGHgTl7oeuNT1oF79Njx9msDWbbuMFRmVSsWcuVPp2vkj6rm0pks3b96r5GRQ80G/bsTFxVOrpjsLf17GV1+PBeBqQCDNm3akaSNvunT8kB/nT0etVgMwa/Zk9u09Qt3aHjRu4EXg9RtGy5wfqFQq5s2bjnf7vtSs6UaPHh2oXMmwLXz4YU9i4+KpUqUJ8+f/xswZXwJQuVIFunfvgLOzO17efZg/fwYqlYqqVd7j44/ep1FjL+q4eNCuXUucnMoC0LvPYOrWa03deq3ZsnUnW7dmr43kRNsF+GHuNP7ac5Dq1ZtRp04rrl4L0i/PwcGOli1cuXMnJHsrN5P8386ZQo8uA2lctx2du3pR8b3yBjW9P9C243rOrVj083KmfDXaYPr0b75k/94j+sc3btzGrUkH3Jp0oIVrJ54mJOC7Y++/zppZ/knfjmHQ+8PwbtIDz86tKV+xrEFNWGgE44dOw3fzX+nmX/rzasZ+NiVHsr2uju1asWju9DzNoFKpmPrtWD7q8TmtG3fBu3MbnNKs1269OxIf9xD3eh1YtmgNY6cMA6BH384AtHPtQb+u/+PLaSMQQvshvX/PETp5pP/SbLTMs8YxoOdQ2jbuilen1ukyd+3dkYdxD2lZryPLFq1h9OShAHTv2wkAr2Y96N9tMOOnDUcIwZMnT2nv1kt/CwsJ5y/fAzkRnmKjhxH9xTgien6IuYc7JmXLpCtL2HeIqL6DiOo7iKfbdwJgVr0qZjWqEdl7AJG9PsasynsUqF3T+BnTRc5/7z2hEnSb9hGL+n/DzFYjqNO+MTZOhgd3QgKC+c57PN+2HcOFXX/TYXxvAMrWrkg5l/eY1WY033iMpHTN8jg1yNkv60Il6DntYxb0n8m0VsOpm0HeewHBfOM9jhltR+O36xSdxvcBIPDkFWa2G8PMdmP48f2veJHwgoAjF3I078vMXtP6s6r/bBa0GkP19g31OzsvXdp2gp/bjOOXdl9y7Fcf2kzSruMnsY9Y8/H3/NxmHJtHLqLLD//L8bx5SVGMf8srb8TOENAfsHtVUVYIITI9D0pRlHaKosQBRQGj7QzVq1uLmzeDuX37LomJiaxbvw1v79YGNd7eHqxatQGATZt8cXdronu+NevWb+PFixcEB9/j5s1g6tU17E1xd2/CrVt3uHs31FiRqeNSk1u37hAcfI/ExEQ2b/TB07OlQU07z5b8sWYzAFu37KJZ84YAJCQ8Q6PRAFCwYAEUXQsuUqQwjRvXZeWK9QAkJiYSH//IaJnzg7p1nQ3awvr12/BO1XMGadrCZl/c9G3Bg/Vp2kLdus5UquTE33/76df70SOn6NChTbrX7trFm3Xrt2Urb0603SJFCtOkSX2WLvsTeNkOHuqX9/33Uxn/5Qx9u/k3arvU4NIepM8AACAASURBVPatO9zRteMtm3xpm6Ydt/Vswdo/twCwfetumurasXZaS+4E3+P6tYx32l2bNyT49l1C7oX966wZqVG7KndvhxByJ4zExCR2bvkL9zauBjVh98IJDLhBcnJyuvlPHT3Dk8dPcyTb63Jxro6lRZE8zVCzdjXu3A7h3p1QEhOT8Nmyh5ZtmxvUtGzbnM1rfQDYtX0/DZtqjzo7vVeOE0dPA/AgOpaH8Y+o7qz90uh/7hL3I6NzJHON2lW5E3xPn9l361+0SJe5GZvXaTPv3rGfhk3rpWQ+os0ckybzS2XKlaL4u8U4c9LP6NnNqlQiKSQUTVg4JCWRsPcA5q6NsjazoiAKmIGpCcLUFGFigiYm1ugZ08qP770yzk7cvxPJg3tRaBI1nN9xguppekuCTl4h8dkLAIL9gihqUxwABQXTAqaYmJpgYmaK2kTNo/vxOZrX0dmJ+3ciiNblPbvjRLrencBUeW/5BVHMxirdcmq3a8CVQ376upzk4FyemDuRxN67jyZRw6Udp6jkYTiy4fnjBP19s0IFQPdRFnHlDo+i4gCICgzBpIApajN5an5+8Fo7Q0KIMUKIobr7PwghDujutxBCrBZCeAghTgohzgshNgghCuumTxZCnBFCXBZCLBZaXQEXYI0Qwl8IYa57mc91818SQlTSzf+OEGKpbhl+QogOuuf7615nB/CXEMJWCHFEt7zLQoimurqXPU6zgPK66d+9/urTsrO3ISQk5ctSaGg49nY26Wru6Wo0Gg3x8Q8pXrwY9nbp57WzN5y3R/cOrFu39d/GNMxjZ01oSHiq143A1s7aoMbWzkZfo9FoeBj/CCvdsKY6LjU5dWYXJ/7eyfBhk9BoNDg6liI6OoaFi2Zz9Ph2flowk0KFzPkvsbezJeSe4Xq1s7dNU2NDSKr1Gv9Q2xbs7G31zwOEhkRgb2fLlYDrNG1aHyuropibF6RNG3ccHAyPHTRpUp+oqPvcuHE7W3lzou2WK1eG6OgH/L7kB86c3sOvi77TtwMvr1aEhYZz8WJAtnJmxtbWmrCQCP3jsLAM2rGttWE7fvgIK6tiFCpkztDhA/lu1oJMl9+piyebN/oaJWtGStqUICI0Uv84MjwKa9sSOfZ6/xXWtiUID0tpFxFhUVjbljSosbEtQXiotkaj0fDo4WOKWRXl2pVAWrZphlqtxqG0HdVqVsbW3rBN5QQb25KEp2oLEWGR6dqCdar2otFoePwy8+VAWrZt/o+ZvTu1wXdrzvRwqku+iyYySv9YExWNukT6dmzu1pSSq3/D6pspqEtqp7+4HMDzc/7Y+W7EducGnp06Q1Lw3RzJmVp+fO8VtbYiLuyB/nFc+AMsrTMfatyguxsBh/wBCD4fRODJK3x95lemn/6Vq0cuEHnTeAdYM8sbmypvbPgDilqn39l5qXF3d67o8qbm4t2YM9uP50jGtIpYWxGfKvPD8BgsMljH9fq24ovDc/EY9z6+U1ekm16lbT3Cr9xB8yIpR/PmpWRFGP2WV163Z+gI0FR33wUoLIQwBZoAl4CJQEtFUWoDZ4ERutoFiqLUVRSlGmAOeCmKslFX01tRFGdFUV7uckfr5v8FGKV7bgJwQFGUuoAb8J0Q4h3dtIZAP0VR3IFewB5FUZyBmkDad9c44Kbu9UanmYYQYpAQ4qwQ4mxy8pNXroyXQyhSS3vUO+OaV89ramqKl5cHGzf5vDJHdmSWx7Am/Xwvs507e4EGddvi1qwTI0Z+SoECZpiYmFDTuSq/L1lD08btefI0geEj8/a8gdz2T+sspSbj//PM5r127Qbffb+QXTv/xGfHai5eCiApyXAD26NHh2z3Cv1TllfXZD6viVpNrVrV+fXXldSt15onT54yZswQzM0LMn7cUKZ+9X22cxo9PwpjvxzKop+X8+RJxkd3TU1NadOuBdu3GG94alpZeR9K2ZfRes3KBk5RFDas2UZEeBRb961m4oxRnD99Qd8TnqNe+72osPGP7USERbJl3yomTB/J+TMXSEoyzOzZyQOfzbuNmzklWfqn0mR/dvQk4R17EdVnIM9Pn6fYlHEAqB3sMHEsTbh3d8K9ulPApRZmzjVyKGeqxPnxvZeNzC4dm1C6RnkOLN4OwLtlrLFxsmdyg/8xqcGnVGxUjfL1Kudk2ixtn1+q17EpZWqUY68u70sWJYpi917pXBkiB1n7DAc4vWovPzYbwV+z1tLs844G00pUsMdjXE+2f/l7TsWUjOx1d4bOAXWEEEWA58BJtDtFTYEEoApwXAjhD/QDXg4edhNC/C2EuAS4A1X/4TU2p3otR919D2CcbrmHgIJAad20vYqixOjunwE+FEJMBaoripKtsVqKoixWFMVFURQXleqdV9aHhoQbHKm3t7clLDwyXU0pXY1arcbS0oKYmFhCQtPPGx6WMm+bNm74+V0iKsq4QzNCQyOwd0jpsbC3tyEiTeawVDVqtRoLyyLExsQZ1ARev8mTpwlUqfIeoaHhhIZGcO6sdqO1besuatb8p//it09IaDgOpQzXa+oj1PqaVOvV0sKCmJg4XTtKNa+DDWHh2nmXL19L/QZtadGyK7ExcQY9QGq1mo4d2rJhw45s582JthsSGk5ISDinz2iH42za7Est5+qUL++Io2Npzp3dS1DgKRwcbDn99x6srV//aGxYWAR2Dik9WXZ2NkSER6WrMWjHFtp2XNulJlOmjeb8pQN88r9+fDHqUz4e1Ec/X8tWrly8cIX79x+QUyLDo7BJdQTf2rYkURH3c+z1/isiwqKwTdXDaWNXksg06zUiLApbXS+8Wq2miEVh4mLj0Wg0zJg4B2+39/m07wgsLIsQfDPneyoiwiINenNs7KyJijDc7kekai9qtZrCqTLPnDSX9m69+N8HI7GwKMKdWymZK1WtgNpEzZWL13IkuybqPmrrlJ43dcl30UQbZk9++BASEwF4ss0XM925lObNm/LicgBKwjOUhGc8O3kas2o5+yUd8ud7Ly7iAUXtiusfF7UtzsOo9EMKKzaujseQziweMJskXc9Ejdb1CPYL4sXT57x4+pyrh/xxrFUh3bzGFBvxgGKp8hazLU58BnkrNa5OmyGd+CVV3pfqeDXEf89pkpNy4YAE8DAiBstUmS1srfRD3zJyecdJKrdySam3seL9X4ezecQiYu9GZTrf2+A/fwEFRVESgWDgQ+AEcBRtT0154DbaHRNn3a2KoigfCyEKAguBroqiVAd+Q7szk5nnun81pPwekgC6pFp2aUVRruqm6btwFEU5ArgCocAqIUTOnPGqc+asP05OZXF0LIWpqSk9unfAx8fwhEsfn7/o27cbAF26eHLw0HH98z26d8DMzAxHx1I4OZXVf4kE6NGjo9GHyAGcP3eR8uUdKVPGAVNTUzp39WLnzv0GNTt37qdXb+3JxB07teXI4ZMAlCnjoL9gQqlSdlSoUJY7d0OIioomNDQcpwrak1CbNW+U6bkYb6uzZy8YtIXu3Tvg42M4NMXHZ29KW+jsySF9W9hL9zRt4cwZbadmiRLajXOpUnZ07NiWdetSeoFatGjK9es3CQ0NJ7tyou1GRt4nJCSMihW1FzJwd2/C1auBXL58DXuHmlSo2IAKFRsQEhJOvfqtiYx8/S8gfucuUa6cI6V17bhTF092p2nHu3ceoOf72hPM23dsw1FdO/Zu04va1d2pXd2dX39ZwY/fL+L3xav183Xu5sXmDcbtkU3rkl8AZcqVwr60HaamJrTr5MHBPUdz9DX/Cy76XcGxXCkcdOvVq1Nr9u8+bFCzf/dhOvf0AqBt+xacPHoGgILmBTEvpP1oatysPkkaDTcCszf89HVc8gvAsWxKZs+OHhln7qHN3Ma7BaeOZZxZkyazV+c2+GzO/pUms+rF1WuYlLJHbWsDJiaYt3In4chJgxpV8ZThUQWbNiJRNxROExFJgVo1Qa0CtZoCtWrmyjC5/Pjeu3vhJiUcbbByKIHaVE1t70Zc2nvWoMahqiM9Zw7gtwGzefwg5VzN2LBonOpXQaVWoTJRU75+ZSJv/PuL2PyTOxduUtLRluK6vC7ejbiYQd5eMwfyy4DZPEqV96W67RtzdkfuDJEDCL1wCytHG4rqMlf3bsC1vecMaqwcU3aiK7o78yBYe9CyoEUh+iwbxb7Z67h7LjDXMkv/3r85s+sI2uFrH6EdGjcXbS/OKeBnIYSToig3hBCFAAfg5S5ytO4coq7ARt1zj4CsnHG7B+25RJ8riqIIIWopipLubFAhRBkgVFGU33TD6GoDK1OVZPX1skSj0TDsi4n4+v6BWqVi+Yp1BAQEMmXKKM6du4CPz16WLlvL8uXzuRpwjNjYOHr30V6/ISAgkA0bd3DxwkGSNBqGDpugP1nT3LwgLVu4MnjwWGNFNcg8auRXbN66HLVaxepVG7l2NYgvJ36B3/lL7Nq5n1Ur1rN4yRz8LhwgNjaOj/prr7bUoKELw0d+QmJiEkpyMiOHTyHmgfZoz5iRX7Hk9x8wNTMl+PY9PvvfGKNnf5NpNBq++GISvj5rUKlVrFi+joCrgUyZPIpz57VtYdmytSxfNo+AgGPExsTRp6+uLVwNZOPGHVy4cABNkoZhwybq28K6tYspXrwYiYlJDB02gbi4lBNfu3drz7r1r7fDnFNt94vhk1i54ifMzEy5dfsuAwaM+KcYr02j0TBu9DQ2bPkdlVrNH6s2cv3aDcZNGIr/+cvs3nWANSs3sHDxd5z230tcbDwDPxz+yuWamxekmVsjRgyblCO5U+efPu47lqybj0qtYvMfO7hx/Rafjx3EZf+rHNxzlGrOlflp+WwsLC1w82jK52MG4e3aE4BV2xdTzqkMhd4x56D/DiYOn8Hxg6dyNPOrjJ4yizN+F4mLe0iLjn0Y/HFfuqS5KEdO02g0fDXuW5Zv+BmVSsXGP7YTdP0WX4z7lEv+AezffYT1a7YyZ+HXHDi9jbi4eIYNHA9A8XeLsXzDzyQnK0SGRzHyfyltYOyUYXh3aYN5oYIcu7iL9au3Mn/2r8bLPH42S9cvQK1Ss/HPbdy4fothY7WZD+w5woY12/h+4dfsO72VuNh4hg/6Up956foFKMkKEeFRjBps2G7btW/JgPeHGSVnxuGTifv+J96d/y1CpebJjl0k3Q7GYlB/XlwN5NnRExTu0Rnzpo1QNBqSHz4kdtq3ACQcOEIBl1pYr/kdUHh28gzPjp3859czRuR8+N5L1iSzcfJSBq/8EpVaxan1h4gICqHd8G7cvXSLy/vO0WF8H8wKFeTDhdrtXGxoNL8N/A7/naeo2Kga4/Z8D4rC1cP+XN5/Psfzrp28lM9XTkClVnFi/UHCg0LwGt6du5ducnHfObqM70OBQgUZuHCEPu8vA2cDYOVQgmK27xJ0yjjnmGY1s+/k5XywciwqtYrz6w9zPygU9+FdCL10m+v7zlO/nwflG1dDk6ThWfwTNo9cBED9DzywKmNNs6GdaDZUewBuZd9ZPMlgJ+9t8Db96Kp43Ss6CSFaALuBooqiPBFCBAKLFEWZK4RwB74FCujKJyqKsl0IMR3oibZX6R5wR1GUqUKILsBMtEPsGgJXARdFUaKFEC7A94qiNNddXOFHoBHaXqJgRVG8hBD9dfVDdNn6AaOBROAx8IGiKLeFEMGplvsHUAPYldF5Qy+Zmtm/6aOIDRQy+6fOtjdX/OObeR0hW8wKOLy66A1ijCu35TbLgq8eovqmKVGwaF5HyJaLAWvzOsJrqVSpa15HyDJVRichvOEOlrPM6wjZ1ur247yOkC2tCpV9ddEbJpH89zlSAtO8jpBt04LX5IuNxim7zkZvEA3CNufJ3/7aPUOKouyHlFamKErFVPcPAOl+HUtRlIloL66Q9vlNwKZUTzmmmnYWaK67nwCk+3VQRVGWA8tTPV4BpLu8h6IoqZfbK6O/S5IkSZIkSZKk/wZ5AXRJkiRJkiRJkrLsbRom96b86KokSZIkSZIkSVKukj1DkiRJkiRJkiRlWV5eCtvY5M6QJEmSJEmSJElZlpzXAYxIDpOTJEmSJEmSJOk/SfYMSZIkSZIkSZKUZQpvzzA52TMkSZIkSZIkSdJ/kuwZkiRJkiRJkiQpy5Lz32/wZkruDL3CELumeR0hWypo5H9pbvjMtkleR8iWXyJO5HWEbNMk57/TMyMTYvM6wn/CtWsb8zrCW61pjY/yOkK2qUX+Gugyxvp+XkfINsuG7+R1hGxTl7XK6whvreS3aJic/OYsSZL0H1WpUte8jpBtckdIkiRJMia5MyRJkiRJkiRJUpbJCyhIkiRJkiRJkiTlc7JnSJIkSZIkSZKkLMt/Z/VmTvYMSZIkSZIkSZL0nyR7hiRJkiRJkiRJyrK36ZwhuTMkSZIkSZIkSVKWyWFykiRJkiRJkiRJ+ZzsGZIkSZIkSZIkKctkz5AkSZIkSZIkSVI+J3uGckClZjXpNLkfQq3i73UH2P/LdoPpzT5uR4Oe7iQnaXgc84i1YxYRGxoNgNe4XlRxqwXAXz9txt/nZK5kLtW8Bk2m9kWlVhHw5yH8Fu4wmF61jzvV+rVC0SST+OQZh8b9TmxQGBU6NqLWp576uuKVS7G+7UQeBNzNldz5SX5oF61aNWPOnKmo1WqWLVvL998vNJhuZmbG77//QO3a1XnwIJa+fT/jzp0QrKyK8uefi6hTpyarVm1g+PDJ+nm6dvVm7NghqNVqdu06wIQJM42auUVLV76ZPRG1Ws2qFev5ce6v6TL/8tt3ODtXIyYmlo/6DePe3VBq16nBjz9NB0AIwayZ8/HdsReATwb3o1//HiAEK5etY9HC5UbO3JSZsyeiVqlZtXI98+YuTp958WxqOlcjNiaOj/prM79k72DLyTO7mP3NTyyY/ztOFcry+/J5+umOjqX4ZsY8o+V2dW/EpJmjUKvUrFu9hV/nGy7XzMyU7xd+TbUalYmNjWPogHGE3gvH1NSE6XMmUt25MsnJCl9P+I6/j58DYOSXn9GphycWlhbUcGxilJyva+LMuRw5fhqrYkXZunpRnmbJijcxb4Pm9Rj+9RBUKjXb//Rl1YI/DKY716/B8GlDKF+5PJP+N42Dvof1047f28/Na7cBiAyNZHT/CbmSubFbA8ZNH45arWLTmu38/tMqg+l1Gjgz9uvhVKxSntGfTGKvz0H9tEV//kCNOtXwO32Bz/qMypW8AAUa1KXoiCEIlYon23fyaOWfBtMLebbG8vNP0NzXfnY83rCVp9t3AmA5ZBAFGzcAIXh2+hzxcxfkWu6X1JVqU7DzQBAqEk/t5cX+jQbTC3QcgLpCdQCEaQFEEUsej38/VzOqylTBrFl3ECqSrhwn6eweg+mmrt1QO1TUPjAxQxQqQsKiEagcKmLm2k1fJ4rZ8GLXEjS3LuRm/FwjL6CQi4QQRYFeiqIsfGXxG0CoBF2mfcSiPjOIi3jA8O0zubz3HJE3Ur7IhAYEM9f7SxKfvaBRn1Z4j+/NyiHzqOJWC4eqjnzfbiwmZqYMWTeZq4f8ef44Icczu07vx45es3gcHkNXn2kE7z1HbFCYviZw60murD4AgGOr2jSe3AefvrMJ2nqCoK0nALCq5EDbJSPkjlAG8kO7UKlUzJs3HU/P3oSEhHP8+A58fPZy7VqQvqZ//x7ExcVTtaor3bp5M336ePr2/Yxnz57z1VdzqFLlPapWraivt7IqyjfffEnDhp5ER8ewZMlc3Nwac/DgcaNl/m7uVDq170dYaAQHjmxm1879XL92Q1/Tt1834uPiqVOzBZ27ejL16zF83G8YVwMCcWvaCY1Gg7V1CY6e8mH3zgNUfK8c/fr3oEWzzrx4kcjGrUv5a89Bbt28Y7TMs+dMpXOH/oSFRrD/8CZ2+x7g+vWUzH0+6Epc3ENcnFvSuYsnU6eN5uP+X+inz5w1gf17j+gf3wi6TbPG7fXLvxJ4DJ8dfxkt79Rvx9Kv62AiwiLZsnc1+3cf5kbgbX1Nt94diY97iHu9Dnh18mDslGEMHTCOHn07A9DOtQfF3y3G0nUL6NiyD4qisH/PEVb+vo79f281Ss5/o2O7VvTq0p4vv/4+r6NkyZuWV6VSMWrmMIb2HEVU+H2W7VzE0T3HCQ5Kec9Ehkbx9Rez6PVpj3TzP3/2gg9aDcjNyKhUKibOGsXA7kOJCIti3Z5lHNxzlFuBwfqa8NBIJg77mv7/65Vu/mUL11DQvCDdP+iYm6EpNnoY9z8fjSbqPiWX/0LC0RMk3TbcNiXsO0Tc9/MNnjOrXhWzGtWI7K1dzyUWz6NA7Zo8P5+LX9SFioJdP+XpL5NQ4h5QaMRcki7/TXLkPX3J861L9PdNm3qhdiiXe/kAhMCs+fs83zIP5XEsBXuOR3PrIkpMuL4k8cgGEnX3TWo2R1WiFADJIYE8+2OGdkKBQpj3/xrN3YDczZ+Lkt+efaF8MUyuKDA4r0NkVWlnJ6LvRPDgXhSaRA1+O05QzcPFoObGyQASn70A4I5fEEVtrACwrmDPzb+vkqxJ5kXCc0Kv3qVys5o5nrmkc3nigyN5ePc+yYkabmw/RVmPOgY1iam+eJsUKoCiKOmWU6FDI25sz52erPwmP7SLunWduXkzmNu375KYmMiGDTvw9vYwqPH29mD1au2RvM2bd+Lm1hiAp08TOHHiDM+fPzOoL1u2NEFBt4mOjgHgwIFjdOzY1miZ67jU5NatO9wJvkdiYiKbN/rSzrOlQU1bz5b8uWYLANu27KZZ84YAJCQ8Q6PRAFCgYEqbrvieE2dO++unHz92Gq806+HfZa7B7dSZN/nS1quFQU07z5as/WOzNvPW3bjqMgO082pJcPA9rl0NIiPNmjci+PZdQu6FZTg9u2rWrsad2yHcuxNKYmISPlv20LJtc4Oalm2bs3mtDwC7tu+nYdO6ADi9V44TR08D8CA6lofxj6juXAUA/3OXuB8ZbZSM/5aLc3UsLYrkdYwse9PyVqlViZDgUMLuhpOUmMTebQdwbd3YoCY8JIIbV2+hJKf/7MgL1WtX4e7tEELuhJGUmMSurXtxb+NqUBN2L5zAgBskZ5D576Nnefr4aW7FBcCsSiWSQkLRhIVDUhIJew9g7tooazMrCqKAGZiaIExNESYmaGJiczZwGqoyFUiODkd5EAmaJJL8jmBSvX6m9aa1XUk8dyTT6TlBZe2IEh+F8jAakjUkBZ5BXa5GpvXqinVJCjyb/vkKtdEEX4GkxAzmkt40+WFnaBZQXgjhL4T4TggxWghxRghxUQjxFYAQwlEIcU0IsUQIcVkIsUYI0VIIcVwIESSEqKermyqEWCWEOKB7fqCxwxa1tiIu7IH+cXx4DJbWVpnW1+/uxtVD/gCEXb1L5ebOmBY0451iRajQsApFbYsbO2I679gU43FYjP7x4/AY3rEplq6uWr+W9D42h0Zf9uTY5JXppjt51ydom9wZykh+aBd2djaEhKR8gQ4NDcfOzjrTGo1Gw8OHjyhePH1beenmzTtUrFieMmUcUKvVeHt74OBgZ7TMtnbWhIakHLELC43ANl3mlBqNRsPD+MdY6TLXcanJiTO7OP63LyOGTUKj0XA1IJBGjetSzKoo5uYFaeXRHHsHW+NltrUhNDRNZlvDzNq/KyJd5kKFzBk2fBCzv/kp0+V37urJpg0+RstrbVuC8LAI/eOIsCisbUsa1NjYliA8NCXvo4ePKWZVlGtXAmnZphlqtRqH0nZUq1kZW3vDv1XK/0rYlCAq7L7+cVT4fUrYlsjy/GYFzFi261eW7FiIa5vcGTJZ0qYEEWFR+seRYVGUtMl65rygLvkumsiUzJqoaNQl0mc2d2tKydW/YfXNFNQltdNfXA7g+Tl/7Hw3YrtzA89OnSEpOHdHcagsi5Mcm3IAJDnuAcIy488yUawEwsoaTdDF3Iqnfd3CxVAepewkKo/jEIUz/owTRaxQWb5L8r1r6aaZVHQhKfBMjuV8EyQjjH7LK2/8MDlgHFBNURRnIYQH0BWoBwhguxDCFbgLOAHdgEHAGaAX0ARoD3wJvOzLrgE0AN4B/IQQvoqiGBxCFUIM0i2HFlYuVC9SPutpM/q/zKAXBaBOxyaUqlGOBT2+AuD60YuUqlGOYZun8fjBQ4LPB5GsyfnrdQiRPnRGkS+v2MflFfuo0LEhdYZ25MCIlHMzSjqXJynhBTHXQ3Iyav6VD9pFxu1AyXZNanFx8QwdOoFVq34mOTmZU6fOUbZs6X8fNjt5/qHm3NkLNKrblorvlWfhr7PZ99dhAq/fZN4Pi9myfQVPnjzhyuWrJCVpjJg5/XNZXc/jJgzllwXLePIk4yPSpqamtGnnzrQpxhs+lVGWdG03k7wb1myjfMWybN23mtCQcM6fvqDvjZPeHhk1kcy2bxnpWLc70ZEPsCtty88bfuDm1VuE3jFOz2ZmMnyP5egrGsOr34vPjp7k6V8HIDGRdzp5U2zKOKI/G4nawQ4Tx9KEe3cH4N2fvsPMuQYv/HNzZyML2xId09quJF04DsobcM2yTDKqK7qQFHQ+/fRCFqiK25N850ouhJOMIT/0DKXmobv5AeeBSkAF3bTbiqJcUhQlGbgC7Fe03zAuAY6plrFNUZQERVGigYNod6wMKIqyWFEUF0VRXLK1IwTERcRQ1C7lSIelrRXxUem7ois2rkarIZ34fcB3aF4k6Z/f9/NWvm83jkV9Z4IQ3L8dnm5eY3scHkNhu5ReisK2VjyNzLz7PGjbKcq2NhxGV6FDA9kr9A/yQ7sIDQ036LWxt7clPDwq0xq1Wo2FRRFiYuL+cbk7d+7D1bUDzZt3IijoFjduBBstc1hohEGvjZ29DRFpMqeuUavVWFgWJjZN5sDrN3n6NIHKVbTnO61euYHmTTrg2boXsTHx3LppxMxhEdjbp8kckVFmm3SZ67jUZOrXY/C/fJBPB/dn+MhPGTCoj36+lh6uXPQPb+4GHwAAIABJREFU4P79BxhLRFgUtnY2+sc2diWJjLifvsY+JW8Ri8LExcaj0WiYMXEO3m7v82nfEVhYFiH4pjyn8G0TFX6fknYpPRQlbUtwPyLrQyCjI7XtNexuOOdP+FOxWoVXzPHvRYZHYWOX0sNpbVeS+2na9ZtGE3UftXVKZnXJd9FEG67n5IcPIVE7NOvJNl/MKmnXpXnzpry4HICS8Awl4RnPTp7GrFrl3AsPJMdHoyr2rv6xqmhxlIcxGdaa1GpK4vncHSIHoDyORRRJ6QkShYuiPMn4M86koguaDHp/TCq6oLnpD8lvwI5cDlJy4JZX8tvOkAC+URTFWXdzUhTld92056nqklM9TsawByzt+jbq+r934SYlHG2wciiB2lRNLe9GXNl7zqDGvqoj3WYOZMmA73j84KH+eaESFCpaGADbSqWxq1Sa60dz/qhN1IVbWDraUKRUCVSmapzaN+D23vMGNZaOKUNbyrRwJj44ZdgMQlDes748X+gf5Id2cfbsBZycyuLoWApTU1O6dfPGx2evQY2Pz1769OkKQOfO7Th06MQrl1uihHYnsGhRSwYN6suyZX++Yo6sO3/uIuXLl6F0GQdMTU3p3NWTXTv3G9Ts3rmf93t3AqBDpzYcOXwKgNK6oXsApUrZ4VShLHd1V2x7t4T24ICDgy1eHTzYuMHw6or/LvMlypV3TMncxZPdvoaZd+3cT89e2osPdOjYhqO6zJ6te+FczQ3nam4sWricH+YsYsni1fr5unT1YtNG4w2RA7jodwXHcqVwKG2HqakJXp1as3/3YYOa/bsP07mnFwBt27fg5FHtF4SC5gUxL1QQgMbN6pOk0RhceEF6O1z1v06psg7YlrLBxNSEVh3cOfrXq7cNAEUsC2NqZgqApZUlNepW43aqixjklMt+VyldrhT2pW0xMTWhbcdWHNxzNMdf9994cfUaJqXsUdvagIkJ5q3cSThi+LmrKp5yYLNg00Yk6obCaSIiKVCrJqhVoFZToFbNXB8ml3w3CNW7dggra1CbYFLL9f/s3XdUFFcfxvHv3QXsolio9pKoUVCxN+wVxWg0dnxjSaKx12jsGk3sRmNJ7L1XbGADRcVeECtYqCIgNhR25/0DXFlBhbiwkNzPOXsOs/Ob4dlhmZ07984scdfOJqkTBW0R2XOiDUg6/CzNM4beR+QpiMidD1RqTEpXQXMv6eetyGMJWXOgDb6XZJ76PzBEDuIPrg39MJbMMEzuGfD2StGDwGQhxDpFUZ4LIWyB1F6d1kYI8Svxw+SciB+GZzBajZZt41bQd/XPqNQqzmw+SsjtRzQb/A0Pr97juvt5Wo/uQpbsWXBdFH93qMjAcP7uPRO1qQk/bZkAQMzzV6wd/Ee6DJNTNFo8f1mF89oRCLUKv03HibwVSJWh7Xh8xZ+Awxco79oEu9rl0MZpeP30BR6D3w2Rs6n2Jc+DI4h+kLHPqhlTZnhfaDQaBg36hT171qBWq1m1ahM3btxi3LghnD9/lX37DrNy5SaWL5/L9esniIiIonv3/rrlb948Sa5cuTAzM8XZuSmtWnXFz+82s2ZNoHz5+Ivmp02by507hjsY1mg0jBg6kW07V6BWq1m3Zgt+N24zeuxALl24xn43D9as2sziv2Zx/rIHkZFRuruy1ajhyMChfYmLjUWrVRg2eDwRT+J761avW0hei7zExcYyfMgEnkZFfyxG6jMPm8jWnctRq9SsW7MVP787jB4zkIsXr3LA7QhrV29h8bKZnLvkTmRkFL16Dv7kerNly4pTg1oMHviLwbK+zTtx1AxWblmISqVi6/rd3L55j0GjvufqJV88Dpxg87qdzFo0mSNndxEV9ZSBvUcDkC9/XlZuWYhWqxAaHMbQH95lGzl+IM7tmpEte1a8ruxn89qdzP9tyYdipKnh46fjc/EKUVHRNHTpyo/fdaOdc1OjZEmJjJZXo9Ewc8w85q3/HZVaxd6N+/G/FUDv4T3xu3wTz0OnKGP/BTP+nkKuPDmp3bgGvYe50rl+T4qWKsLIGUNRtFqESsXqhev17kKXlpmnjZ7Jko3zUKtV7Niwl7s3/ek3ojfXL/tx7KAnXzmUYe6KGeTOkwunJrXpN7w3LvXi7yy3atdiipUsQvYc2XC/uJtxg6dy6tiZNA6tJWrmAvLPn4FQqXmxZz9x/gHk7uPKmxu3iPE8Rc6OX5OtTk0UjQZtdDSRk2YA8OrICbI4VsRy3d+AQoy3DzFe6XwCU6slZttisn8/EVQqYs+4ow15gFnzLmge3EZzPb5hZFqpLrEXjNQwVbS8ObaJLC4D4m+t7XsKJSIY0+rOaEPvo/GPbxiZfFEl2V4hkSsfIpcF2kfJ3+BGypjEx8b7ZxRCiPXEX+uzH3gEvL0H53OgK6AB9iqK8lVC/cqE6a1CiKJv5wkhJgA2QAmgMPCboijLPva7Bxf9NuNvoERKaTJD+zapHx+u/XRRBjK46LfGjpAqf4ak7CxtRpLNxMzYEVIt2etrMrC8WTLOHclSys9v66eLpM9Sp8L/jB0h1Z5rYj5dlIEcKJrd2BFSzbxGDmNHSDV1MVtjR0i17AMXZ4oPkq3WXQx+fNw+eJ1RXnumOHJWFOX9m/zPS6bsq0T1rol+Dkg8D7ilKEofQ+aTJEmSJEmSJCnzyRSNIUmSJEmSJEmSMoZMNWzqE/5TjSFFUSYYO4MkSZIkSZIkSRnDf6oxJEmSJEmSJEnS5/k33ThcNoYkSZIkSZIkSUoxbaa4zUPKZLbvGZIkSZIkSZIkSTII2RiSJEmSJEmSJCnFtAiDP1JCCNFMCHFTCHFHCPHB7woVQrQXQihCCMdPrVM2hiRJkiRJkiRJytCEEGpgIdAcKAt0EkKUTaYuFzAASNE3IcvGkCRJkiRJkiRJKaakwSMFqgJ3FEW5pyjKG2Aj0CaZusnAb0CKvo1Z3kDhE8xS2G2XUZj+m278noFltveFWiXPe0hJqUTmeh9L6cPzynKc7HsZO0aqZFWZGjvCv54wyYSfI/KzL80Y6QYKtsDDRNOPgGqJC4QQFYFCiqLsFUIMS8lK5btEkiRJkiRJkiSjEkL0EUKcS/To835JMovpugGEECpgDjA0Nb9X9gxJkiRJkiRJkpRiafE9Q4qiLAWWfqTkEVAo0bQdEJRoOhfwFXBMxI98sAJ2CyFaK4py7kMrlT1DkiRJkiRJkiRldD5AKSFEMSGEGfAtsPvtTEVRniqKkl9RlKKKohQFTgMfbQiBbAxJkiRJkiRJkpQKxriBgqIocUB/4CBwA9isKMp1IcQkIUTrf/pa5DA5SZIkSZIkSZJSzEg3UEBRFDfA7b3nxn2g1ikl65Q9Q5IkSZIkSZIk/SfJniFJkiRJkiRJklIsLW6gYCyyZ0iSJEmSJEmSpP8k2TMkSZIkSZIkSVKKyZ4hSZIkSZIkSZKkTE42htJY6Xr2DPOYxfBjc3D6Ield/6p1acSgAzMY6PYr328ZT8GStkZICXZOFfjm+O908JqFfT/nJPPLdG1AO/df+frgVJy3/0KeUjYACBM19eb0pZ37r7Q/OiPZZaWkMur7onHjely85MGVq8cYOvSHJPPNzMxYtfoPrlw9xrHjOylc2A6ABg1q43VyD2fPHsDr5B7q1auhW8bU1JQFf0zj0uUjXLjoQZs2zQyauWGjupy9cIjzlz0YNKRvspn/XjWP85c9OHx0K4UK629LOztrHoZcpv+A7wDIksUM92Pb8PTewymf/YwaM9CgeeMz1+HMhYOcu+TOwCHvf8F2QuaVczl3yZ3DR5JmtrWz5kHwJV1mgNzmuVi5ZgGnzx/g9LkDVKnqYLC8dRrU4KD3NtzP7qTPANdk8poyd9mvuJ/dydYDq7AtZA2AqakJ0+ePZ+/xTew+uoGqNSsDkCNHdnYfXa97nPHzYMyUVH1huEGNnTabui2/xaXr90bLkBoZMW81pypsOLGKTV5r6NqvU5L59tUqsPzAEo7fP4xTy7p68yxtCjJn/W+sO7aCtUeXY2VnmS6Za9SvyjbPdew4tYEe/bskmV+xuj1rD/3N6YdHadjSKcn8HDmz43ZhOyOmDkqHtPGyVK+C5eZVWG1dQ67uSbdz9pZNsT6wnYJrllJwzVKyt26hm2fevw+WG5ZjuXEF5kP6p1vmxNRfVCT7iEVkH7UY0/rtksw3a/0d2QbPIdvgOWQfuYgck9ele8aT95/gstab1mtOsfx8QJL5Mz1v0XHjGTpuPEObNaeos/S4bt7ck7dpt/40X6/zZsaJmyhKSm4YnTkpwvAPY8nww+SEED8rijLN2Dn+CaESuEzqyV9dp/E05An9d0/F9/B5wu4E6mou7TrJmXXuAJRpVJlWv3RjeY/p6Z6z1pQeuHWezovgCFz2TeL+ofNE3X73pb53dnpzY+0RAAo3rkT18V050PU3ireqitrMhG2NRqPOasY3R2dwd5c3zx+Fp+tryEwy6vtCpVIxe84knFt1JTAwBE/P3ezbdxg/vzu6mh6uHYiKekqF8k60b+/M5Cmj6NG9P0+eRNK+/XeEBIdRtmxpdu1eTamS1QEYMbI/jx8/wcG+AUIILCzyGDTz77Mn0LZ1D4ICQzhyYjv73Ty4mShztx7f8DTqKZXtG/J1+5ZMmDyC73q8a+BMnTEG98MndNOvX7+hTctuvHjxEhMTE/Yf3oj7oeOc87lksMy/zZrA121cCQoMweP4Ng7sO8LNm+8yd+3enqioaBwdGvF1u5ZMmDSc71zfHXBNmz4Gj0SZAX79bSwe7idw7fYTpqamZMue1WB5J0wfhes3PxISFMq2Q2s4cuA4d27562rad3EhOiqaRlVdaOnShOHjBjCo92g6dGsLQKt6HbHIn5e/Ny7g68bx27Z1/c665Xe4r+XQviMGyftPuLRoTOd2rfl58kyjZUiNjJZXpVIxdOpABnUaTljwY/5y+xOvQ6cIuH1fVxMaGMrUwTPo9H2HJMuPnTeK1fPX4eN5nmzZs6LVpv0BpEqlYuS0IfTrOJjQ4Mes3r+ME4dO4n8rQFcT8iiUCQOn0e2Hb5Ndx/cje3HB2zD7hRRRqcg7fCCPfxqOJuwxBVf+ySvPU8T539cre+V+jKiZ8/WeMytfDrMKXxHapRcABZbOI0sle15fuJxu8REqsrTty6ul41GePiHbwJnE+Z5FCX2oK3mz+2/dz6a1WqKyLZ5++QCNVmH68Zv82aYiljmz0GWzD/WK5aeERU5dzbA6pXU/b7j8kJvhzwC4FBzFpeCnbP62GgA9t53jfGAUjnZ50/U1pBc5TC59/WzsAP9UIYeSPLkfQsTDMDSxGi7v8aZsE0e9mtfPX+l+NsueBYxwFqGAQwmiA0J59uAx2lgNd3edpkiTyno1sYlymibOqYBJ9iwItQqTrGZoY+P0aqWkMur7wtHRgXt37xMQ8JDY2Fi2bt1Dq1ZN9GpatWzCurXbANixww0np5oAXL58nZDgMAB8fW+RJUsWzMzMAOje/Rtm/r4IAEVRePIk0mCZKzvac+/efe4nZN6+dR8tWjbSq2neshEb1u0AYNeOA9Rzetdr1aJVI+77P8Tvxm29ZV68eAnE92yYmpoa9OxeZccK+CfOvG0fzVs11Ktp0bIRG9dvj8+88wB138scEKCfOVeunNSsWYU1q7YAEBsbS/TTZwbJW6FSOe4HPOTh/UBiY+PYt/MQDZs76dU0al6P7Zv2AnBgjwc16lQFoOQXxTl14iwAEeGRRD99RnmHsnrLFileiHz58+LjfdEgef8JR4fymOfOZbTfn1oZLW+Zil/yKCCQoAfBxMXG4bHrCHWa1tSrCXkUyt0b91C0+odQRUsVQW2ixsfzPACvXsbwOuZ1mmcuV7EMDwMCCUzIfGiXB/Wa1tarCX4Uwp0bd5NtnH1ZoTT58ltw+rhPmmd9y6zsl8Q9CkQTFAxxcbw6fIRsdWt+ekEARUFkMQNTE4SpKcLEBE2E4fbFKaEqXArtkxCUiFDQxBF3yROTclU/WG9SsS5xF098cH5auBYaTSHzbNiZZ8NUraJpKUuO3fvwyd0Dt0NpViq+J1MgeKPREqvV8kajJU6rYJHdLL2iS58hQzWGhBA7hRDnhRDXhRB9hBDTgWxCiEtCiHUJNV2FEGcTnlsihFAnPP9cCDEjYXl3IURVIcQxIcS9t99KK4RwFULsEkIcEELcFEKMT8vXY26Zl6igJ7rpp8FPMLdMeoagRrfGjDg+lxajOrNrwqq0jJSsHNZ5eR4coZt+ERJBDuukOcv2aERHr1lUHfMtp8atBuDevrPEvXxNlwt/0OnsXK4sceN11It0y54ZZdT3hY2NJY8C3/UGBgYGY21j+cEajUZDdPQz8uXTz+7i0pwrl6/z5s0bzM1zAzBu3FBOntrLmrULKVgwv8EyW9tYEvgoWDcdFBiSbOa3NRqNhuinz7HIl5fs2bMxcHBfZvy6IMl6VSoVJ07t5pb/GY4d8eL8OcOdPbW2tiIw8L3M1vqZ419XyAcy9+G39zIXKVqI8PAI/lg8g2Neu5j3x1SyZ89mkLxW1gUJDgzVTYcEhWJpXUCvxtKqACEJNRqNhufRz8lrkQe/a7do1NwJtVqNXWEbvrIvg7Wt/mt1btuMfTsPGySrZBwFrPITFhSmmw4LDqeAVYGPLPFOoeJ2PI9+zrRlE1lxcAn9xvZFpUr7Q5OCVgUIDUyc+TEFrVK2bxJCMHh8f+ZNXpRW8ZKlLpgfTei7zJqwcNQFkm7nbPXrUHDtMix+HY+6YPz8N9d8eX3+Ejb7tmLttoWY0z7EBTxIt+wAwjwfStS7hoUS9QRhni/52rwFEBYF0dy5ml7xAAh7EYNlrne96pY5s/D4RfKN86DoVwRFv6KKnQUA9tbmONrmpfFyL5qs8KRm4XwUt8iRLrmNQZsGD2PJUI0h4H+KolQGHIEBwO/AK0VRHBRF6SKEKAN0BGopiuIAaIC3A31zAMcSln8GTAEaA22BSYl+R9WEZRyAb4QQ+qfkgYSG2DkhxLlLz+68PzvlRNIBkMmdYPZec5jf6g1i//T1NPyp7T//ff9YMgM1k8npu8qdTbWHcnbaRioOcAGgoENxFK2WdZV/YmONIZTv04JchVP2IfiflUHfFyLZXMr7RR+tKVOmFJOnjOKnn+I7dE1M1NjZ2eDtfY5aNVtx9swFpk0zXGfv52QeNWYgfy5coesFSkyr1VK3ZmvKfVGbSo72lClbyoCZkz73fuYPva5RYwbw5x9JM5uYqLF3KMeKv9bjVLsNL1+8Svb6KUMFTmneret3ExIUyg73NYyZMpQLPpeJi9Po1bVs24S92w8YJqtkFCn6P/wAtYka+6rl+WPyYnq1+AGbwta06NDU0BGTSvb/MGWLfuPalpMepwlN1ABMH58OHePpTbBLZ8K69ub12QvkHT8KALWdDSZFCxPs3IHgVh3I4lgRM4cK6RH64z6w0U0c6hB35RQoGXcw1sHboTQsURC1Kv7v8iDqJf6RLzjoWouDrrU5+yiC84Hp2/sm/TMZ7ZqhAUKIt0d9hYD3j0AaApUBn4Sdbzbg7d7oDfD2E/Uq8FpRlFghxFWgaKJ1HFYU5QmAEGI7UBs4l/iXKIqyFFgKMLJop388PuZpSAR5bN6d9TC3zkd02If/MS7v8abtlO8+OD+tvAiOIKe1hW46h5UFL0I+nPPurtPUntaT40AJl5o8PHYFJU5DzJNoQn1uUaBCcZ49eJwOyTOnjPq+CAwMwc7WRjdta2utG/r2VlBCTVBgCGq1mty5cxEREQWAja0VGzYuoXevIfj7x59xfPIkkhcvXrJ790EAtm93o3uPjgbLHBQYgq2dtW7axtYq2cy2dtYEBSVkNs9JZEQUjlXsaePSjImTR2BunhutVsvr129YtmSNbtnop8/w8jxDw0Z1ueGrP5TuH2cOCsHW9r3MIclltkqSubKjPa3bNGNCoswxMa/ZvfMAQYEhuh6sXbsOGKwxFBIUqtebY2VjSViI/rCRkOAwrGwtCQkOQ61WkzN3TqIinwIw7ZfZurpN+5Zz/967s9FfliuF2kTN9St+BskqGUdY8GMK2hTUTRe0zk94aMquG30c/Jhb1+4Q9CC+t/TEwZOUq1QGNu5Pk6xvhQU/xtI2ceYCPE5h5vKO5ahYzZ72ri5kz5ENE1NTXr54xR/TlqRVXAA0YY9RW77LrC6YH024fmZtdLTu5xe79mHevzcA2Zzq8OaaL8qrGABivM9i9lUZ3ly6kqaZE1OePkHkedf7JvLkQ4mOSLbWxKEOr7en7fZMTsEcWQl9FqObDn3+mgI5siRbe/B2KKPqfaGbPnrvMeWtzMluFn9oXatIPq6GRlPZ9t95zdC/6dYQGaZnSAjhBDQCaiiKYg9cBN6/AlgAqxJ6ihwURflCUZQJCfNilXenorTAawBFUbToN/re//ul2d/z0eW75CtqRV67AqhN1dg71+DG4fN6NfmKWul+/rJBRcIDQtIqzgc9vnyP3MWsyFWoACpTNSXaVOfB4Qt6NbmLvTsYKtzQgaf+8TlfBD3BpmY5AEyyZaFgpZJE3Q1C+rCM+r44f/4yJUoWpUgRO0xNTWnf3pl9+/SHL+1zO0yXrvF3AGrbtgXHj58CwNw8N9u3rWD8uN84fVr/tbi5eVC3bvzNFOrXr4Wfn2EaFQAXzl+hRIkiFE7I/HX7lux389CrOeDmQacu8edY2rRtxonjpwFo0aQT9uWcsC/nxJ+LVjJ75p8sW7KGfPktyG0efz1G1qxZcKpfk9u37hkw81WKlyj6LnO7lhzYp595v5sH33b+Oj6zSzM8EzK3bNoZh6/q4/BVfRYvWsmcWYv5a+lawsLCCQwMpmSpYgDUq1dD7yYSn+PqRV+KFiuEXWEbTE1NaOnSBI8Dx/VqPA4c5+uOrQBo5tyQ017x11FkzZZVdyOHWvWqodFo9G680OrrZuzdftAgOSXj8bvkh10xW6wLWWFiakLDNg3wOuSdomVvXLpJrjy5yGNhDkDlWhUJuHX/E0t9Pt9LfhQqZodNIWtMTE1o0qYhJw56pWjZX/pNppVje1pX7cDciYtw23IgzRtCAG9u+GFSyBa1tRWYmJCtcQNendDfzqp8705sZq1Tk9iEoXCakFCyVLQHtQrUarJUtE/3YXLah7dR5bdGWBQEtQkmDnXQXD+bpE4UsEVky4H2fvqfJClnmYsHT18SGP2KWI2Wg7dDcSqWdPhkQOQLol/HYW9lrnvOKldWzgdGEqfVEqvRciEoimJ5s6dn/HSlFYZ/GEtG6hkyByIVRXkphPgSqJ7wfKwQwlRRlFjAA9glhJijKEqYEMICyKUoSmr2nI0TlnsFuAD/M+SLSEyr0bJr3Eq+Wz0alVqFz+ZjhN5+ROPB7Xl01Z8b7uep2aMJpWqVRxMXx6unL9g89M+0ivNBikbLqV9W0XzdCIRKxc1Nx4m8FUjlYe14fNmfB4cvUM61Cba1y6GN0/D66QuOD47f8V9feZh6s/vQ3mM6CMGtzSeIuPHwE7/xvy2jvi80Gg1Dh4xj1+7VqNVqVq/ezI0btxn7y2AuXLiK2z53Vq3czF9/z+bK1WNERkbRo/tPAPT9vjvFSxRh1OgBjBo9AIDWzt14/PgJv4ydzl9/z+a338YRHh5B377DDZp5xNCJbNu5ArVazbo1W/C7cZvRYwdy6cI19rt5sGbVZhb/NYvzlz2IjIzSuytbcqwsC7Bo6e+o1SpUKhU7trtx8MBRw2YeNpGtO5ejVqlZt2Yrfn53GD1mIBcvXuWA2xHWrt7C4mUzOXfJncjIKHr1HPzJ9Y4cNpklf83CzMyUgICH9P9hlMHyThz9G8s3/4FapWbrhl3cuXmPgSO/5+olX44cPMGWdbuYuWgy7md3EhX5lMF94odC5sufl+Wb/0DRKoQEhzHsx1/01t2idSN6dTL8rctTa/j46fhcvEJUVDQNXbry43fdaOecDkO1/qGMllej0TJn7AJmr5+BWqVm76b9+N8KoNcwV/wu38Lr8Cm+tP+CX/+eRC7znNRqXINeQ13p2uB/aLVaFk5azLxNMxFCcPPqLXav35cOmTX8/vMcFmyYhVqtYvfGfdy7FUDf4d9x47IfJw6dpKz9l/y+fCq58+SiTuOa9Bn+Pzo6dU/zbB8OrSVq5gLyz5+BUKl5sWc/cf4B5O7jypsbt4jxPEXOjl+TrU5NFI0GbXQ0kZNmAPDqyAmyOFbEct3fgEKMtw8xXilrsBqMVsvrHUvJ1nsCCBWxPh5oQx9i1rQzmod30PjGN4xMK9Yh7lLKGqaGZqJSMbLuF/y46yJaBdqUtaZEvpwsOnOXsgVz41Qs/jKAA7dCaVrKUm+IaKMSBfF5FEGHDWcAqFk4H/WKycsGMgORUe6BLoTIAuwEbIGbQAFgAtAcaA1cSLhuqCMwmvherVign6Iop4UQzxVFyZmwrgnAc0VRZiZMP1cUJacQwhVoQfz1RSWB9YqiTPxYrs8ZJmcMJePUxo7wj/R+tNbYEVJlZNGk3++Qkf0Rls4fegZgpspI52pSJrlrJzKyfFlzGztCqvne2GLsCP8JTva9jB0hVV5rY40dIVV2FjY1doRUy1Mn49zBMKVURYzz3Y2fI/tPizLFB8mcwl0Nfnw8+MFao7z2DHO0oSjKa+IbPu87BoxMVLcJ2JTM8jkT/TzhQ/OAMEVRjPNtY5IkSZIkSZIkZRgZpjEkSZIkSZIkSVLGl3Hv85d6/6nGkKIoK4GVRo4hSZIkSZIkSZlWprqG5BMyzN3kJEmSJEmSJEmS0tN/qmdIkiRJkiRJkqTPY8xbYRua7BmSJEmSJEmSJOk/SfYMSZIkSZIkSZKUYv+mGyjIniFJkiRJkiRJkv6TZM+QJEmSJEmSJEkp9m+6m5xsDH1CCG+MHSFVwjLpX7S3sQOkUmZ7Xwgy35WOWU3MjB0h1V7Exhg7QqocLW5u7AipVqfQBU01AAAgAElEQVTC/4wdIVU8ryw3doR/5Njlv4wdIdU6VR5k7AgpVvbaNWNHSLU3l+OMHSHV4rTnjB0h1eJ+WmTsCCmi/Rc1hzLpobMkSZIkZXxO9r2MHSHVMmNDSJIk6Z+SjSFJkiRJkiRJklJM3kBBkiRJkiRJkiQpk5M9Q5IkSZIkSZIkpdi/54oh2RiSJEmSJEmSJCkV5DA5SZIkSZIkSZKkTE72DEmSJEmSJEmSlGLazPeNHR8ke4YkSZIkSZIkSfpPkj1DkiRJkiRJkiSlmPzSVUmSJEmSJEmS/pP+PU0hOUwuTZSv58B0j/n8duwPWv7QNsn8pt85M+3wXKbsn82IdePJZ1tAb37WnNmYe3op3Sam3zeXf1XPgWke85l+7A9aJJO5yXfOTDk8l0n7ZzP8vcx/393MRLeZTHSbyYBlo9Itc2aTWd4XjRrX5cIlDy5fPcqQod8nmW9mZsaq1Qu4fPUoR4/voHBhWwAqO9pz6vQ+Tp3eh/dpN5xbN9Ets2jxDPwDfDjrc8Dgees3rI2nzz5OXThA/0FJt42ZmSmLl8/i1IUD7HPfiF1hG928MuVKs+fQeo557+bIyZ1kyWIGgKmpKb/PnYDXOTc8z+6lZevGBs3cqHFdzl9059KVIwz+wDZesWo+l64c4cix7e+2ceUKeHnvxct7LydP76OVcxO95VQqFZ6n9rB5618Gzfu+LNWrYLl5FVZb15Cre6ck87O3bIr1ge0UXLOUgmuWkr11C9088/59sNywHMuNKzAf0j9Nc75V3akqmzxXs+XkOrr175xkvkO1Cqw6uBSvBx7Ub1lPb97Jhx6sPvwXqw//xe8rp6ZLXoBqTlXYcGIVm7zW0LVf0m1sX60Cyw8s4fj9wzi1rKs3z9KmIHPW/8a6YytYe3Q5VnaW6RX7g8ZOm03dlt/i0jXp+91YHOpVYt6RRSw4vgSXH9olmd+qVxvmuP/BrAPzGb9+MvkT9slFyxZj6o7fmHM4fl7NVrXTNKeh9xe2ttbsdVuHz/lDnPE5wA8/uho0b+PG9bhy5SjXr59g2LAfk827Zs1Crl8/wYkTuyhSxA4AC4s8HDy4kfDwG8yZM0lvmfbtnfHxOciFC+5MnfqzQXI2beLE9Wsn8PP1YsTwfsnmXL/uT/x8vTjltUeXE2DkiP74+Xpx/doJmjR+t89YtnQWQY8uc+mih966KlQoi9eJ3Vy84M7OHSvJlSunQV6DZBiZrjEkhCgqhLhm7BwfIlQquk/qzSzXqYxuPIjqrWtjU9JOr+a+rz8TnEcwtvkQzu0/TcfR3fTmtxvaCb8zvumauduk3sxxncqYxoOolkzmB77+THIewbiEzB0SZX4T84bxLYYxvsUw5veenm65M5PM8r5QqVTMnjOJr11ccazUhG++ac2XX5bUq+nh2oGoqKfYl6/PwgV/M3lKfAPY9/pN6tRqTc3qLXFx6cH8+VNRq9UArFuzDRcX1zTJO23mWLq070u9as64tG9B6S9K6NV06taOp1HR1KzUjKWLVjF2wlAA1Go1fyydwcghE3Gq0Zp2rXoQGxsHwMBhfQl/HEFtxxbUreaMt5ePQTPPmj2Rdm17UqVyU9p/48wX723j7j06EBUVjUOFBiz8YzkTJ48EwNf3FvVqt6F2jVZ87eLKvAVTdNsY4Id+Pbl1867Bsn7gBZB3+EDCB40i5NueZGvSAJNiRZKUvXI/Rli3PoR168PL3W4AmJUvh1mFrwjt0ovQzt9hVvYLslSyT+O4KoZNG8jgLiPp5NSDJm0aULSUft7QwDAmD5rOoR3uSZZ/HfOG7o170b1xL4a7jknTrIkzD506kKFdR9Glfk8auSSXOZSpg2dweKdHkuXHzhvF+j830cWpJ71b/khkeFS65P4YlxaNWTx7irFj6KhUKnpN7svUHhMZ3KgftVvXxa5UIb0a/+v3GNlqCEObDcDb7RTdRrsC8PrVaxYMnsPgxv2Z0n0CPcf3InvuHGmW09D7izhNHGN+nkaVyk1oWL8dvft0S7LOz8k7b94U2rTpgYNDQzp0aM2XX5bSq3F17UhU1FPKlavLggV/MWXKaABiYl4zceIsRo3SP+lgYZGHX3/9mebNO1GpUiMsLfNTv36tz845f95UWjl3pbx9fTp2dKFMGf2c/+vZicjIp3xZtjZz5y/j12nx//9lypSiQ4c2VHBoQMtWXVgwfxoqVfzh9OrVm2nZqkuS37dk8e/8PGYaFSs1YufO/Qwb+sNn5c8ItGnwMJZM1xjK6Io7lCT0fgiPH4aiiY3jzB4vKjWpolfj532NNzFvALhz8RYWVvl084p+VZzc+c255nk5XTOHJcp8do8XFT+S+e7FW+RNlFn6tMzyvnB0tOfe3fsEBDwkNjaWrVv30LKVfq9Iy5aNWbd2GwA7duzHyakmAK9exaDRaADImiULSqI+9JMnzxIZYfgDsoqVyxNw7wEP7j8iNjaWXdv207RFA72aZi0asHnDTgD27jpEnXrVAajXoBY3rt3C99pNACIjn6LVxu+Ov+3SlvlzlgGgKAoRBszu6GjPvXvvtvG2rXuTbuNWjdiwLn4b70zhNraxsaJps/qsWrnJYFmTY1b2S+IeBaIJCoa4OF4dPkK2ujVTtrCiILKYgakJwtQUYWKCJiIyTfOWrfgljwICCXoQTFxsHId3HaFuU/0DqeBHIdy5cQ9FmzEGfpR5L7PHriPUaaq/jUMehXL3xj0Urf4hRNFSRVCbqPHxPA/Aq5cxvI55nW7ZP8TRoTzmuXMZO4ZOSYdShAQEE/YwlLjYOE7u8aRK42p6Nde9r+r2ybcv3iSfdX4Agv2DCAkIBiAyLIKn4U/JbZE7TXKmxf4iNOQxly9dB+D58xfcvHkHGxsrg+StUsWBu3cD8Pd/QGxsLFu27MH5vR5sZ+cmrF27FYDt2910DZuXL19x6pQPr1/H6NUXK1aY27f9CQ+PAODIES9cXJp/Vs6qVSrq5dy8eRetnZvq1bR2bsKaNVsA2LZtHw3q1054vimbN+/izZs3BAQ85O7dAKpWqQiAp9cZIiKTfl58UboEJzxPA+Du4Unbti2S1EjGk1kbQ2ohxDIhxHUhxCEhRDYhxDEhhCOAECK/ECIg4WdXIcROIcQeIYS/EKK/EGKIEOKiEOK0EMLCkMHyWloQERSum44IjiCv5YcbDvU6NOTKsQskZOXbsT3YNG21ISN9Umoz1+3QkKsJmQFMs5gxbvcMxu74lYpNqqZp1swqs7wvbGyseBQYrJsODAxJ8iFpY2Opq9FoNDyNfka+fHkBcKzigM+5g5zxOcDAgWN0H8RpxcraksDAEN10cFAIVtYFk9QEJdRoNBqio59hYZGHEiWLoKCwYdtSDh3fyo8D/gdAbvP4A7aRY37i0PGtLF05h/wFDNf4t7ax4tGjd9s4KDAYG2vL92osdTW6zG+3saM9Z3wO4H12P4MGjNVt4+m//cK4MdN1Dbq0oi6YH01omG5aExaOukCBJHXZ6teh4NplWPw6HnXB+Plvrvny+vwlbPZtxdptCzGnfYgLeJCmeQtYFSAs6LFuOiz4MQWsk+b9ELMsZqzYv4S/9iyibrO0HQ71VgGr/IQFvdvGYcHhFLBKWeZCxe14Hv2cacsmsuLgEvqN7as7ay29Y2GVj/Dgd/vkJ8Hheieg3tegY2MuHjuf5PmS9qUwMTMh9H5IMkt9vrTaX7xVuLAtFezLcc7nkkHy2thY8ehRkG46MDAYGxvLD9a8zfv2MyQ5d+/ep3TpEhQpYodarcbZuQl2djYfrE9RTlsrHibK+SgwOOlnXaIajUbD06fR5MuXFxubZJa1/Xhj8vr1m7pGYft2rSj0mfkzAi2KwR/Gkln3kKWAhYqilAOigKSDffV9BXQGqgJTgZeKolQEvIHu7xcLIfoIIc4JIc7deuafqmBCJL3xuqIk/weu6VKXohVK4LZ0FwANuzXjytELRAQ/SdXv/GypyFwjIfP+hMwAw2r2ZVLrkSwZMJfO43pSoLDxx6dnNJnlfZGSnB+rOedziSqOTalXpw1Dh/2ouwYnrSSbJSU1ioJabULV6pXo13sEbZp1pXmrRtSuWx0TtRpbO2t8zlykSb32nPe5xPgpww2YOelzSbYxyRYBcO7cZapVaYZTXReGDvuBLFnMaNasAeGPn3DpUnqMIP5wtrdiPL0JdulMWNfevD57gbzj44dSqu1sMClamGDnDgS36kAWx4qYOVRI27TJfRfGB/73kuNSpQM9m/dlXL/JDJ7YH9siaX8Qk5r9xfvUJmrsq5bnj8mL6dXiB2wKW9OiQ9NPL/gfk9z/2Ie2cZ22TpQoX5JdS7brPZ+nYF5+mjOYhcPmp/jvk+qcabC/eCtHjuysWb+IUSMm8+zZcwPl/bzPkORERT1lwIAxrFmzEA+Prdy//4i4uDgj5fxn/5+9+gzhx+9dOXN6P7ly5eDNm9hUJs54lDR4GEtmbQz5K4ry9jTGeaDoJ+qPKoryTFGUx8BTYE/C81eTW1ZRlKWKojgqiuJYOlexVAWLCHmChU1+3bSFtQVRYRFJ6srWqoBz/3bM7fUrcW/i/6lLVCpNo+7Nmen1J9/+3J1aX9fjm5FdU/X7/4nIVGRu1b8d8xJlBogKix/m8vhhKH6nr1OkXOq22X9BZnlfBAYGY2drrZu2tbUiODj0vZoQXY1arcY8d64kw8hu3rzLyxcvKVvuizTJ+VZwUAi2ic7IWdtYERoclqTm7Vk7tVpN7ty5iIx8SnBQCN4nfYiIiOLVqxiOHD5BefuyRERE8fLFS9z2xF8/smfnQcpXKGuwzEGBIdjZvdvGNrbWBIfoZw4KelfzNvP72/jWzbu8ePGSsmW/oFqNyjRv2ZCrvidYsWo+devVYNnfsw2WOTFN2GPUlu9639QF86MJD9er0UZHQ2z8h/2LXfswS7hmIJtTHd5c80V5FYPyKoYY77OYfVUmTXK+FRb8mII273pVCloX4HFI+EeW0BceGn8SIuhBMBdOXaL0V6U+scTni8/8bhsXtM5PeGjKMj8Ofsyta3cIehCMRqPlxMGTlC6f9pkzmych4eS3frdPzmedn8jQpPvk8rXsadf/G6b3mqL3uZctZzZ+XjGOjTPXcfvizTTLmRb7CwATExPWrl/E5k272bP7oMHyBgYG6/Xa2NpaE/zePjlxzYfyvs/NzZ26ddvg5NSW27fvcedOwOflfBSs1ztjZ2ud9LMuUY1arcbcPDcREZEEBiazbJD+su+7efMuzVt2plr15mzctIt79z4vv2RYmbUxlHgAtIb4W4TH8e71ZP1IvTbRtBYD317c//IdLItak9+uIGpTE6o51+bi4XN6NYXLFaPntL7M7TWdZ0+idc8vGTSPIbW+Z1jtH9g4bTUntx9ny4y1hoz3wcwFE2Wu+oHMPab1Zf57mbPnzoGJWfwmzJk3F6Uqf0nQ7UdpnjmzySzvi/Pnr1CiZFGKFLHD1NSU9u2dcdunf1G5m5s7XbrGd8a2bduc48e9AXRDGAAKFbKlVOniPLiftu+FSxeuUaxEEQoVscXU1JQ27ZpzcP9RvZqD+4/SoZMLAK3aNMHrxBkAjnmcpGy5L8iWLStqtZrqtapw6+YdAA4dOEbNOvFDPmvXq27QmxKcP3+F4iXebeN27Vsl3cb7POjUJX4bu3xwG9tQqnRx7j94xMTxv1OmdC3Kl61Lzx4DOHHcm97fDTFY5sTe3PDDpJAtamsrMDEhW+MGvDrhrVejyvdu9HHWOjWJTRgKpwkJJUtFe1CrQK0mS0X7NB8md+PSTQoVs8O6kBUmpiY0btMAz0OnUrRsLvOcmJqZAmBuYU6FKl/hfysgDdPG87vkh10xW13mhm0a4HXI+9MLEv96c+XJRR4LcwAq16pIwK37aRk3U7pz+TbWxWwoWMgSE1MTajnXwefwGb2aYuWK0/fXH5n+3RSinzzVPW9iasKIpT9zfNtRvN1OpmnOtNhfACz8czo3b95l4YK/DZr33LnLlCxZjKJFC2Fqaso33zizd+9hvZq9ew/TtWt7AL7+ugXHjn36/7FAwlDlPHnM6dOnGytWbPisnD7nLunl7NChDXv2HtKr2bP3EN26fQNAu3YtOXrspO75Dh3aYGZmRtGihShZshhnfS6mKL8Qgp9HD2TJ0jWflT8j+DfdQOHf9D1DAUBl4CzQ3lghtBota8b9xfDVv6BSqzix+QiBtx/SdvC3BFy9w0X3c3w7ujtZsmel36L4u1pFBIYz14h3YdNqtKwb9xdDEzJ7bj5C0O2HuCRkvuR+jg4JmX9MyPwkMJz5vadjU9KOHtP6olUUVEKw788dBN2RjaH3ZZb3hUajYeiQ8ezcvRq1WsWa1Vu4ceM2Y38ZzIULV3Hb586qlZv46+85XL56lMjIp7h2/wmAGjWrMHTo98TGxaHVahk86BeePInvNVyxch516lYnX7683Lx9iqlT5rJ61WaD5P15+FQ2bFuGWq1i49od3PK7w/Cf+3P54nUO7T/KhjXbWLBkBqcuHCAqMorv/zcMgKdPo1mycBX7j2xGURQ8Dp/A49AJAKZOmM2CJdOZ9OsonoRHMrif4e4iptFoGD50Ajt2rdJtY78btxkzdhAXLlxlv5sHq1dtYulfs7l05QiRkU/p2WMAADVqOjJ4yLttPGTQOCKepO0NCJK+AC1RMxeQf/4MhErNiz37ifMPIHcfV97cuEWM5ylydvyabHVqomg0aKOjiZw0A4BXR06QxbEiluv+BhRivH2I8UrZQf4/jqvRMHPMPOat/x2VWsXejfvxvxVA7+E98bt8E89Dpyhj/wUz/p5Crjw5qd24Br2HudK5fk+KlirCyBlDUbRahErF6oXrCbid9g0LjUbLnLELmL1+BmqVmr2b4jP3GuaK3+VbeB0+xZf2X/Dr35PIZZ6TWo1r0GuoK10b/A+tVsvCSYuZt2kmQghuXr3F7vX70jzzpwwfPx2fi1eIioqmoUtXfvyuG+2cjTd8T6vR8te4JYxdPQGVWsWRze48uv2QjkM6c/fKHc65n6Xbz65kzZ6NoYvi784WHvSYGb2mUqNVbcpULUfOPLlwah9/w5aFw+YR4Ju6YfUpkRb7i+o1HOnU+WuuXfPDy3svAJMmzOTQwWMGyTto0C/s2bMGtVrNqlWbuHHjFuPGDeH8+avs23eYlSs3sXz5XK5fP0FERBTdu7+7xf7NmyfJlSsXZmamODs3pVWrrvj53WbWrAmULx/fQz9t2lzu3Pm8ba3RaBg4aCxu+9ajVqlYuWoTvr63mDB+GOfOX2bv3sMsX7GRVSvn4+frRWRkFJ27xt8m3Nf3Flu37uHq5aPEaTQMGDhGd63m2jULqVe3BvnzWxBw7xwTJ81kxcqNfNvRhR9+cAVg5043Vq5K2xvdSKkj0mqca1oRQhQF9iqK8lXC9DAgJ7AR2Aw8B44AXRVFKSqEcAUcFUXpn1AfkDAd/v685PQo2i5TbaDM2tW3ImCbsSOkSo+in7pMLWPZFnbh00UZTC6zbMaOkGovYmM+XZSB+H5V1NgRUq39Q2OeP0w9tch8e+Vjl9P2e6rSSqfKg4wdIcUOhWfYbwj5oDeaz7tOxxjitGl7E5+0EPcmMLkrHTOcIUW/Nfjx8eyAjUZ57ZmuZ0hRlADib4jwdnpmotmJr8QdmzB/JbAyUX3RRD/rzZMkSZIkSZIk6b8j0zWGJEmSJEmSJEkynkw1bOoTZGNIkiRJkiRJkqQUy1wDlj8u8w1mliRJkiRJkiRJMgDZMyRJkiRJkiRJUoop/6KBcrJnSJIkSZIkSZKk/yTZMyRJkiRJkiRJUor9m64Zko0hSZIkSZIkSZJSTCuHyUmSJEmSJEmSJGVusmfoE7RKJmv5ikzxxcVSOouJe2PsCKmW0yyrsSOk2mtNrLEjpEpj/+fGjpBqapG5zuFlVZkaO8J/xobzc40dIVVaV+xn7AipYqfOaewIqZZNnvNPM5ns6PijZGNIkiRJkiSdTpUHGTtCqmW2hpAkSRmHbAxJkiRJkiRJkpRi/6ZrhmRjSJIkSZIkSZKkFPs33U1ODqaUJEmSJEmSJOk/SfYMSZIkSZIkSZKUYsq/aJic7BmSJEmSJEmSJOk/SfYMSZIkSZIkSZKUYvKaIUmSJEmSJEmSpExO9gxJkiRJkiRJkpRi/6ZrhmRjSJIkSZIkSZKkFJPD5KSPKl+vIr8dWcDM4wtp9UPbJPOb9XJmuvs8ph6Yzaj1E8hnW0Bvftac2Zh3ZhndJ/VKr8iUr+fAdI/5/HbsD1omk7npd85MOzyXKftnM2Ld+GQzzz29lG4T0y9zZpORtnHTJk5cv3YCP18vRgzvl2S+mZkZ69f9iZ+vF6e89lCkiJ1u3sgR/fHz9eL6tRM0aVzvk+s8dmQ753wOcc7nEA8CzrNt698AODs34cL5w5zzOcRpbzdq1azyj15L/Ya18fJxw/vCAfoPSrptzMxMWbJ8Nt4XDuDmvpFChW1088qUK83eQxs47r2Hoyd3kSWLGdmyZWXtpsV4nt3Hce89jBk/5B/l+pgmjZ24euUYvtc9GTbsx2Qym7F2zSJ8r3vieWK3bvtbWOTh4MFNPAn3Y+6cybr6bNmysnPHSq5cPsrFC+5MmTzK4Jnfql2/Om6ntnDgzDZ6/dQ9yXzH6hXZ5r6aq0GnaNKqgd68pRvncea2B3+unZ1m+ZJTq3519pzchNvpLXz3U7ck8ytXd2Dz4VVcCvSicav6evMWb5jDqVuHWbh2ZnrFBaBG/aps81zHjlMb6NG/S5L5Favbs/bQ35x+eJSGLZ2SzM+RMztuF7YzYuqgdEgLDvUqMe/IIhYcX4LLD+2SzG/Vqw1z3P9g1oH5jF8/mfwJ+7eiZYsxdcdvzDkcP69mq9rpkvdTxk6bTd2W3+LS9XtjR9FT2akyy44t42/Pv/nmx2+SzP+q2lcscFvAXv+91G6hvy3/N/p//On+J3+6/0ld57rpkrdcPQcme8xj6rEFNPvBJcn8xt+1YuLhOYzfP5Mh68ZhYZtfN8/CJj+DVo9lkvscJh6eQz67AkmWTwtl6tkzxmMOvxybR6Mf2iSZX/+7lvx8eBYj9/9Gv3VjyZsoc+tRXRh9aCY/u8+m3XjXdMkrfT6DN4aEEG5CiDypqC8qhLhm6Bwp/N3PDb5OlYoek3vze48pjGw0kBqt62BTyk6v5v51f8a1Gs6YZkPwcfPm29H6BxTth3bC78x1Q0f7aObuk3ozy3UqoxsPonrr2tiUfC+zrz8TnEcwtvkQzu0/TcfR+gcU7YZ2wu+Mb7plzmwy0jZWqVTMnzeVVs5dKW9fn44dXShTppRezf96diIy8ilflq3N3PnL+HXaGADKlClFhw5tqODQgJaturBg/jRUKtVH1+nU4GscqzTBsUoTTp85z46d+wE4csSLSpUb41ilCb37DGXJktQfbKpUKn6d+Qud2/ehbjVn2rZvSekvSujVdO7Wnqiop9So1Iwli1YzdsIwANRqNQuX/saIIROoV8OZr1v1IDY2DoA//1hOnaotaVT3a6pUq0iDRnVSne1jmefNm0LrNt2xd2hAxw5t+PJL/e3f0/VboqKiKFuuDvMX/MXUKT8DEBPzmokTZzJq1JQk650zdwkV7OtTtVpzatSsQtMmTgbLnDj7LzNG0KfTQJxrd6Tl100pUbqYXk1QYAijB0xi3/ZDSZZfvnAtI/uNN3iuj1GpVIydPowfOg+mdZ1OtGjbhOKli+rVBAeGMnbgZNySybxi0TpG95+YTmnjqVQqRk4bwoAuw/imXjeaujSi2HuZQx6FMmHgNA7ucE92Hd+P7MUF70vpkDY+b6/JfZnaYyKDG/Wjduu62JUqpFfjf/0eI1sNYWizAXi7naLbaFcAXr96zYLBcxjcuD9Tuk+g5/heZM+dI11yf4xLi8Ysnp30/8yYVCoV/ab045fuv9C3QV+c2jhRuFRhvZqwwDBmDZnF0Z1H9Z6v0qAKJb4qQb+m/RjkPIh237cje87saZpXqFR0nvQd81ynMq7xYKq2roX1e597D3z9meo8konNh3F+/2naJ/rc+9/s/hxcuptxjQYzrc1onoU/TdO88ZkF30z6H4tdf2Va4yFUbl0Lq5K2ejWPfAP43Xk0M5qP4PL+M7QZHX+yolil0hR3/ILpzYbza5OhFLYvQcnqZdM8s7FoFcXgD2MxeGNIUZQWiqJEGXq9mUUJh5KEBgTz+GEomtg4Tu/xonLjqno1N7yv8SbmDQB3Lt7Cwjqfbl7Rr4pjnj8P105cTrfMxR1KEno/RJf5zB4vKjXRP0vv935mK/3MufObc80z/TJnNhlpG1etUpG7dwPw939AbGwsmzfvorVzU72a1s5NWLNmCwDbtu2jQf3aCc83ZfPmXbx584aAgIfcvRtA1SoVU7TOnDlzUN+pFrt2HQDgxYuXunk5smdH+Qc7woqVK+B/7wEP7j8iNjaWndvcaNpCvzeiaYsGbN6wC4C9uw5Su151AJwa1ML32k18r90EIDIyCq1Wy6tXMZz0PAtAbGwsV6/4Ym1jlepsH1KlioP+ttqyG2fnJno1zs5NWLN2KwDbt++jfv1aALx8+YpTp3yIef1ar/7VqxiOH/fWZb508Sq2dtYGy/xWhUrleOD/iEf3g4iNjcNtxyEaNNM/wxz0MJhbvnfQapMOojjt6cOL5y+TPJ+Wylcqq8scFxvH/p2HP5I56XvwjOc5XqZz5nIVy/AwIJDAB8HExcZxaJcH9Zrqn+UPfhTCnRt3k838ZYXS5MtvwenjPumSt6RDKUICggl7GEpcbBwn93hSpXE1vZrr3ld1+7fbF2+Szzr+bHqwfxAhAcEARIZF8DT8KbktcqdL7o9xdCiPee5cxo6hp7RDaYICggh5EEJcbBzHdx+nepPqejVhj8II8AtIsj8tXKowV89cRavR8vrVa/x9/ansVDdCE/cAACAASURBVDlN8xZzKMnj+yGEPwxDExuHz56TODRx1Ku56X1d9764d/EWea0sALAuaYdKreaG1xUAXr+M0dWlpSIOJXl8P5QnD8PQxGq4sOcU5d/7rL7tfZ3YhCwBF2+TJ+GzWkHBNIspJqYmmJiZojZR8+xx2jfgpM+X6saQEGKEEGJAws9zhBBHEn5uKIRYK4QIEELkT+jxuSGEWCaEuC6EOCSEyJZQW1kIcVkI4Q30S7TuckKIs0KIS0KIK0KIUgnr8RNCrEp4bqsQInui9RwXQpwXQhwUQlgnPF9CCHEg4XlPIcSXCc8XE0J4CyF8hBCTSQN5rfIREfxENx0R/ET3z52ceh0bcuXYhbevn85jXdkwbVVaRPugvJYWRASF66YjgiPIa5nvg/X1Ouhn/nZsDzZNW53mOTOzjLSNbWytePgoSDf9KDAYm/cO9hPXaDQanj6NJl++vNjYJLOsrVWK1uni0pwjR0/y7Nm7Dtk2bZpx7epxdu9aRe/eQ1P9WqytCxIUGKKbDg4Kxdra8r0aS4ICg3Wv5Vn0Myws8lC8ZFEUYMO2ZRw6vo1+A75Lsv7c5rlo0qw+ngkNDUN4fxsGBgZj+/72t7HiUaLtHx39jHz58qZo/ebmuWnZshFHj540WOa3CloVICQwVDcdGhyGpXX6DF35pwpaFSAkKEw3HRoURkGrjJ85NPBd5rDgxxS0yv+RJd4RQjB4fH/mTV6UVvGSsLDKR3jwu/3bk+BwvZM572vQsTEXj51P8nxJ+1KYmJkQej8kmaWk/Fb5eRz0WDcdHhxOvo9s58T8b/jj6ORIlqxZyJ03NxVqVKCATdr+H+SxtCAi6N3xUGRwBHk+8rlXu0NDrh27CIBlcWteRb/gh8XD+GXfb7Qf3Q2hSvsrO/JYWhCVKHNU8BPMLT+8763eoT6+x+J7YAMu3OaW93Um+yxhytkl3DhxmdC7gWme2ViUNHgYyz95Z50A3o4ZcQRyCiFMgdqA53u1pYCFiqKUA6KAtwOJVwADFEWp8V7998A8RVEcEtb9KOH5L4CliqJUAKKBHxN+5wKgvaIolYHlwNSE+qXATwnPDwPefirMA/5UFKUK8MG9rRCijxDinBDi3O3n/p/eIomXTea5D53wrtm2LsXKl2Tfkp0ANOzejMtHL+g1ptKDEElTf+gsfU2XuhStUAK3pfFn2ht2a8YVI2TObDLSNk5JluRrPrxsStb5bYc2bNy0U++5XbsO8FX5erRr/x0TJwxPUf5P5iRlr8VEraZa9Ur/Z+++46qsHjiOf869gIgDBGSrOHIP3Hunlopazhylqak/tdLSNNPM1JyV5igbrlxpudBU3HsLDlRwoLK3G4F7z++Pi8AVUCguiJ13L15xn+c8D997Pfe5z3nOec5l+OAxdH6jD292fJ0mzVKvsmq1Wn78ZQ6//PQ7t28FpdvHP5W11z/9dlnpOdNqtaxcsYCFC5dy8+btf5wxM5m9li+zjOvISy7Df/+sbdq9/1sc2XOc8DQNQFMTGQTOrL42fasFZauVY/NPfxktt3EoxsjvRrHw0/n/qJf4PyHDE4ysbXr24FlO7zvN3E1z+WzBZ1w5ewVdki5H4z0ro+NYZhW5fpemuFcvw84lWwDQaLWUq1uJ9dNWMK3TOOxLOtC4WwvThX0qG8e4Ol2aULJ6WfYmZ7Yv5YhTOVcmNRjGxAZDKd+oKmXrVTJl2jylR+b4T175J7PJnQFqCyGKAE+AsxgaLk2BD4HxacrelFL6pNnOXQhhDdhIKQ8kL18JvJn8+zFgghDCDfhLShmQ/EF2R0r59DLn78l/ZwdQFfBOLqMFQoUQhYFGwPo0H4IFkv/fmNQG2UpgZkZPUEq5BEODin6l3s7Wv05MWLTRsDdbZzviwmPSlavSuDqdRnRjeo+JJCUY7lN4rVYFytetROt+b2BZyBIzczPiH8bzx8zfsxMh22LCorF1SXPTorMtcRHpM1duXB3PEV2Z3jM1c9la5alQtxKt+r2BpVVy5kfxrDdx5vzmZXqNg4NCKeGWOomAm6szoaHhGZYJDg5Fq9VibV2UmJhYgoMz2DbEsO3z9mlrW4y6dWvStXvGkz8cOnyCMmVKYWdXjOjo2Cw/l5CQcFxcU3tVnF0cCQuNeKZMGC7JObVaLUWKFiE2No6QkHCOHTlFTIxhVO8e74NUr1GZwwePAzBn3lfcuHGLnxfnbK/ns6+hq6szIc++/sFhuLm5EBwchlarpWjRIik5n2fRoplcu3aTHxb8mqOZnwoPjcDJNbXnzdHZgYiwyOdskffCQyNwcnFIeezo4kDkS545IjQSR9fUzA7OxYkMj3rOFqmq1alCzfo16Na/C1aFCmJmbs6jh49ZMP0nU8UlOiwKe+fU45udsz2xGXzuVWtcg64jujOpx+cpxzeAgoUL8vnSSayds4qAc1dNljO/iwqNMurNsXe2Jzo86xfJ1v6wlrU/rAVg7A9jCbkZ8oIt/p3YsBhsXVLPh4pl8rlXqXE1Oox4m9k9v0ypF3Fh0dzxu0nUHcPx3GfXKcrUfA3+MGlk4sKisUmT2cbZjnsR6T+TyjeuRtsRbzO/5+SUzNXb1SPwXAAJjwzDmC/v98G95mtcP3nZtKGVfy3bPUNSykQgEBgAHMXQG9QSKAs8+y+edmC7DkPjS5DJtQwp5WqgE/AY2CmEeDr4/9nyMnk/l6SUHsk/1aSUbZOfU1ya5R5SykrPbGsyN3yv4VTameIlHNCam9HAswlnvY3HbZeqUpoB3wzlu4HfcC86dTzp4o++Z1SjIYxuMpQ105Zz+K/9Jm8IAdz0vYajuzP2bobM9T2bcM77tFGZklVKM2D6EL4fNIP70fdSlv/08TxGNx7Kp02GsXb6Co78dUA1hDLwMr3Gp077UK5cadzdS2Bubk6PHp3Z6mV84/hWr13062eYqahr1w7s238kZXmPHp2xsLDA3b0E5cqV5uSpcy/cZ7euHdm2fTdP0tzrUrase8rvNT2qYmFhnq2GEIDP2QuUKVuKkqVcMTc3p0vX9uz62/jG4V1/76PHO4YZgTp2bseR5MbO/j2HqVSlAgULWqLVamnYuC7+V68D8NmEjyhStAgTx32TrTxZcfq0L+XKuae+Vt074eXlbVTGy8ubfn27AfD22x3Yv//FQ94mTx6DddEifPLp5BzP/NSFc36UKlMC15IumJub0f6ttuzb+eyAgJfLxXOXKVmmBK4lnTEzN+PNLm1e+sx+PlcoUdoNlxKGzG07t+bgzsNZ2nbi8K/pWKcbner14PuvFrF9/Q6TNoQArvkG4FzaBYcSjpiZm9HYsymnvE8YlSldpQxDvvkfMwZONfrcMzM3Y+ySzznw5z6Obc/5oZ2vEn9ff1zcXXBMfp2bd2rOce/jWdpWo9FQxMZwD5R7RXdKVyrNmYPphyrmpEDfazik+dyr69kY32c+90pUcafv9A9YMGim0efeTd/rWFkXonDy/WMVG1UlJCDneugzc9v3OsXdnbB1K47WXEstz0ZceCazWxV3ek0fxM+DZvEgTebYkCjK1a+MRqtBY6albP1KhF8zfea8Ik3wX175p98zdBDD8LP3gQvAt8AZKaXMaEhCWlLKOCHEXSFEEynlYSBlzlAhRBnghpRyfvLv1YEbQEkhREMp5THgHeAwcBUo/nR58rC58lLKS0KIm0KI7lLK9cIQqLqU0hc4AvTC0LuUfq7SHKDX6Vkx6RfGrJiERqvh4B97CA64w9uje3Hz/HXO7T5Fr8/fxdLKkpGLDLNaRYdE8d2gnD/pyk7mlZN+YcyKicmZ9xIccIe3RvUi8MI1zu0+Ta/x71LAypLhiwz3dcQER/H94Bl5ljm/eZleY51Ox0cff8H2bavRajQsW74OPz9/Jn/5KafP+OLl5c1vS9eyfNl8rvgdJjY2jt59DdM/+/n5s2HDVi747iNJp+PDjyak3Cif0T6f6tmjE7NmLzTK8fZb7enbtxuJiUnEP46nd59h/+i5fD5mKmv+/AWtVsOa3//i6pVrjP18JD7nLrLr732sXrmBBT/N5NjZHcTF3mXI+4bX9+7de/y0cBk79q5HSske74Ps3nUAZxdHRo0Ziv/V63gf/BOA35asZvXKDf/o9c4o88cfT8Rr6+9otVqWLV/H5cv+TJr0CWfPnMdrmzdLl61l6W/f43fpEDExcfR7N3Wq8qtXj1K0SBEsLMzx9GxHh459uH//PuPHfciVKwGcOG6YrW/xj8tYunRtjmROm33quNn8sm4+Gq2Gv1Zv5drVG4z87AMu+lxm385DVPWoxA/LZlHUuigt2zZl5NgP8GzWC4CVW5ZQplwprAoVZJ/PVr4YNY0j+7J2MvdvMk8fP4ef1s5Dq9WwcY0X16/eZPjYwVzyvcL+5MzfL51JUZsitGjbhOFjBtOleW8Alm/+kdLJmXef28KkUdM4uv/EC/7qv888+/Pv+GHNXLRaDVvWbuOGfyBDxgzksu8VDu46QuUaFZn92zSK2hShaZtGfDDmfXq2SD/VeW7Q6/T8MuknvlgxGY1Ww94/dhMUcIeeo3tz/fw1Tu8+Sb/P+2NpVZBPFn0GQFRIJDMHTaNhxyZUqleFwjZFaNHNcP1z4afzCPTL3hD1nDbmyxmcOneeuLh7tO7Sl/8N7EfXZyaFyW16nZ7FExcz9fepaLVadq3bxW3/2/T7pB/+5/054X2C8jXKM/HniRS2Lkz91+vTd3Rfhr4+FK25ljl/GmbsfPTgEbM/nI1eZ9pvitHr9Kye9Csfr5iA0Go48sc+QgKC6DSqJ7cuXMd392m6je+HpZUlQ5M/96KDo1g4eCZSr2f9tJV8smoSCMHtizc4tHaPSfM+zbxh0m/8b8XnaLQajv+xn7CAINqP6s7tCze4uPsMncf3xcLKkgGLRgEQGxzFz4Nn47P9OOUbVWXczjkgJZcP+HBxz1mTZ1b+PfFPxuYKIVpjGKZmI6V8KITwB36UUn4rhAgk+V4iwEtKWTV5m0+BwlLKyUKIp/f4PAJ2Yrjvp6oQYjzQF0jEcE9Pb6AosB1DA6wREAD0k1I+EkJ4APMBawwNu++llD8LIUoDiwFnwBxYK6Wckrx8dXLZP4EvpJSFn/dcsztMLq9pXtAYfVktD/wzryNky3vu6b9H42W2KsS0J5ymYG+V9zNKZVdsfI7P1m9SZYrm/IxzpqYV+evr8Sw15nkdIdvcLbI2WcfLZM2Z7/M6QrZ1qpn+O95eZm7a554uvZQK5sOv05wfuC5fnMj1LNUlx8+P193alCfP/R/1DEkp92BoZDx9XD7N7+7Jv0ZhuKfn6fI5aX4/A9RIs8vJycu/AYy6SIQQRQG9lDLdN58l34+U7pvDpJQ3gTcyWZ520gbVtaEoiqIoiqIo2ZCXEx7ktPzXZFYURVEURVEURckB//SeoVwjpQwkTQ+ToiiKoiiKoih5Jy8nPMhpqmdIURRFURRFUZT/pJe+Z0hRFEVRFEVRlJeHaecizF2qZ0hRFEVRFEVRlP8k1RhSFEVRFEVRFCXLpJQ5/pMVQog3hBBXhRDXhBDjMlg/WgjhJ4Q4L4TYI4Qo9aJ9qsaQoiiKoiiKoihZpkfm+M+LCCG0wELgTaAy8I4QovIzxc4BdaSU1YENwKwX7Vc1hhRFURRFURRFednVA65JKW9IKROAtUDntAWklPuklI+SHx4H3F60UzWBwgvc0d3L6wjZUsbMJq8j/CfcTspf9aJkUYe8jpBtIQ+i8zpCtp13z1/fArAwvmheR8i2sY6ReR3hlVf54sW8jvCfsOXcwryOkG2rakzK6wjZ0q33w7yO8MrKowkUXIE7aR4HAfWfU34g8PeLdqoaQ4qiKIqi5Gudag7P6wjZkh8bQopiakKID4AP0ixaIqVckrZIBptlOL5OCNEXqAM0f9HfVY0hRVEURVEURVGyzBRfuprc8FnynCJBQIk0j92AkGcLCSFeByYAzaWUT170d1VjSFEURVEURVGULMvKhAcmcAp4TQhRGggGegG90xYQQtQEfgLekFJGZGWnagIFRVEURVEURVFealLKJGAEsBO4DPwhpbwkhJgihOiUXGw2UBhYL4TwEUJsedF+Vc+QoiiKoiiKoihZltXvBTLB390ObH9m2aQ0v7+e3X2qniFFURRFURRFUf6TVM+QoiiKoiiKoihZlkdTa5uEagwpiqIoiqIoipJlpphNLq+oYXKKoiiKoiiKovwnqZ4hRVEURVEURVGyLI+m1jYJ1RgygXot6jLiq/+h1WrYtuZvVi9ca7S+ev1qjJj8P8pWKsOU4VM5sO0QAB6NajDiy2Ep5UqWLcmU4VM5vPOoyTNXbe5B70kDEFoNh9btYfviTUbr2w7sSLNerdEl6bkfc4+lYxcSHRwFwC/X1xF09TYA0cFR/DB4psnz5kd1W9QxqhdrFq4zWl+9fjWGTx6WXC+mcTBNvRhuVC9KMGX4NI7kQr1o1qoRk6aPQaPR8Mfvm/hx/lKj9RYW5sxZ9DVVq1ciLvYuIwd9RvCdUMzNzZg29wuqeVRGr5dMmTCLE0fOmDxvmzbNmTt3MlqtlqVL1zJnzqJn8lrw66/fUatWNaKjY+nXbzi3bgXRunVTvv56HBYW5iQkJPL559PYv9/0ry+AVZPaOE4YChoNdzfsIObn9Ubri771OsXHDCIp3PB+i1u1lbsbdqas1xSywn37TzzYfZSIrxfnSuZKzWvw9qT+aLQajq3by+7Fm43WtxzYgYa9WqFL0vEg5h6rx/5IbPLxotO4PlRpVROh0XD10Hn+/GqZyfMWaFAXm9EjEBoND7ds5/6KNUbrrTq0w3rkEHSRhowP1m/i0RbDZEXWIz7AsnEDEIL4k2e4++0Ck+fNL5lfb9OMmbMmodVqWL78D76b+6PRegsLC376eQ41a1YlJiaO/u+O5PbtYGrXrs68BdMBEELwzbR5eG3dhaurMz/9PAdHx+Lo9XqWLV3L4kXLTJIdoHaL2gydPBSNVsOONTtYv8j4vVe1flWGfDmE0pVKM2P4DA5vP5yy7v3x71O3dV0A1sxbw8GtB02WM6u+mP4tB4+cxLaYDZt+//HFG+QB1xbVqTelH0KjIWDNfi4s3JphuVId6tJyyUdsfXMi0edv5mpGbYWaFOg0EDQaEk/uJnHfX0brLTwHoC1XDQBhXgBR2JqHk/oCYDloItqSFdDdvEz80mm5mlv55/6zjSEhxDLAS0q5ISf3q9Fo+GjqSD7t/RmRoZH8uG0hR3Yd5VbA7ZQyEcERzBg9i55Dehht63PUl0HthgJQxKYIqw4v59QB059ACo2GvlMGMbfvFGLCYpi0ZQY+3qcJuRaUUua2302meH5GQnwCLfq2pfv4fvw44jsAEuITmNx+jMlz5mdP68WY3p8RGRrFj9sWcHTXMaN6ER4cwczRs+k5pLvRtj5HfRmcpl78fngZp3OhXmg0Gr6aOY53uw0jLCScTd6r2L3jANf8b6SU6dGnC/fi7tOqXmc6vtWOz778iA8HjaNXv7cBeLNZD+zsi/HbugV0eb2vSafi1Gg0zJs3lQ4d+hAUFMqRI1vx8vLmypWAlDL9+/ckLu4uVao0o3t3T6ZOHU+/fsOJioqha9f3CQ0Np3Ll8mzd+jtly9YzWdY0oXGcNJyg9z8nMTyKUuvn8WDvCRKu3zYqdv/vA5k2dOw/6sfjUxdMnzWZ0Ai6T3mfhX2nERcWzadbvuGi92nCrgWnlAnyC2S253gS4xNo0rcNncf3YdmIeZSuVZ4ydSow4w3D8eLjDVMo16Ay1477mS6wRkOxMR8ROXIMuohIHJYt5vGhoyTdvGVU7PHu/cTNmW+0zKJaFSyqVyW8zyAAii+ZR4FaNXhy1td0efNJZo1Gw9xvv6Kz57sEB4ex/9Amtm/bzdUr11LKvPteD+Li7uFRvRVdu3Xkq68/Y8B7H+Ln50/zJp3R6XQ4OhXn6PFt/L19D0m6JCZ8Ph1fn0sULlyIg4e3sHfvYaN95mT+4VOH83nvz4kKjWKe1zxOeJ/g9jOf1XNHz6XrkK5G29ZtVZeyVcsyvN1wzC3MmbVhFqf3nebRg0c5njM7urRvQ++unfj86zl5miMzQiOoP+09dr0zg0ehMXTcPoXbu85wNyDEqJxZIUsqvd+OyLM5/++ehZAUeOsDHi+ZjLwbTcEPZ5F06SQyIvV8KGFr6kVB88bt0biUSXmcuH8TieYFMG/QLldj54W8mlrbFNQ9QzmsokcFggNDCL0dSlJiEns376dx28ZGZcKCwrlx+SZSn/lcHM07NOPEvlM8iX9i6siU8ShHxK0wIu9EoEtM4sTWI3i0rWtU5sqxSyTEJwBw41wAxZzsTJ7rVVLRowIhgSGE3g5LUy8aGZUJT64Xen3mB5jmHZpyMpfqRY1aVbl18w53bgWTmJiE18adtHmzhVGZ199swZ9rDVf2/t6ym0ZNDQ2IchXKcOTQSQCio2K5f/c+1TwqmzRv3boeXL8eyM2bt0lMTGT9+q14erY1KuPp2Zbffzdc//jrr+20bGl4b/r6XiI0NBwAPz9/LC0LYGFhYdK8AJbVy5N4O4TEoDBITOL+9gMUbt0gy9sXqFIOrV0xHh45a8KUxkp5lCPyVjjRdyLQJeo4u/Uo1Z45XgQcu0Ri8vEi8FwANsnHC4nEvIA5ZuZmmFmYozXTcj/yrknzWlSuSFJQMLqQUEhK4rH3Xgo2a/TiDQGkRBSwAHMzhLk5wswMXUysSfNC/shcp04Nbty4RWDgHRITE/lzgxcdOrYxKtOh4+usWfUnAJs2/k2LFobn8PhxPDqdDgDLAgV4ek4VHhaJr88lAB48eMjVq9dwcXHK8ewA5T3KExIYQljyMfnAlgM0aGv83osIiiDwSmC6k76Sr5XkwokL6HV6njx+wk2/m9RuUdskObOjjkc1rIsWyesYmbKvWZb7geE8uB2JPlHHzc3HKdku/etWa2w3Li72QhefmOsZNSVfQx8ViowJB10SST6HMauS+YUxM4+mJPkcSnmsu3YBnjzOjahKDnppGkNCiHeFEOeFEL5CiJVCCE8hxAkhxDkhxG4hhGNyuebJ3yjrk7yuiBCihRDCK82+Fggh+if/PkkIcUoIcVEIsUQIIUz5PIo72xMZGpHyODIskuLO2W84tOrUgr2b9uZktEzZONoSExKV8jg2NJpijraZlm/aoxUX9p9LeWxewIJJW2YyYeN0aj5zUqQY2DvbExEamfI4MiwKe2f7bO+nZacW7Nm0LyejZcrJ2YHQkPCUx6Eh4Tg6Fzcq4+jsQGhwGAA6nY779x5QzNaGy5f8afNGC7RaLW4lXahaozIurqY5qXnKxcWJoKDUK4zBwaG4uDhmWkan03Hv3n3s7IoZlXnrrfb4+l4iISHBpHkBzBztSUxTL5LCojBzTH+8KNKmCe6bF+EybwJmTsn1RggcPhtM5OxfTJ4zLRtHW+JColMex4VGY+1YLNPyDXq0xG+/DwCBZwPwP3aJr0/9xNSTP3H5oC/h14Mz3TYnaB3s0YWnHpN1EVFoixdPV65gy6Y4/P4ztt98idbBsD7hoh9Pzvjgsm0DztvXE3/8FEmBt9Nt+1/M7OziRFBQaMrjkOBQXJwdnynjmFLm6fvNNvn9VqdODU6c2sGxk3/z8YdfpDSOnipZ0pXqNapw+pRPjmcHsHeyJzIk9b0XFRqFXRYv8t28fJM6LepQwLIARYsVpXrD6hR3Sf/voxizcirGw5CYlMcPQ2OwcjI+dthWKYWVsy1Bu03z7/4ioqgtMi71fEjejUZYZ1wvhE1xhK2DoQH0H6RH5vhPXnkphskJIaoAE4DGUsooIYQtIIEGUkophBgEjAU+AT4FhkspjwghCgPxL9j9AinllOS/sxLoCGQ8SDU1zwfABwCv2VTEpZBrdp5NuiXZ7Um0dbClTMXSnDxwOnsb/kMZtQ8z6/5s0KUp7tXLMrNnypf9MqbRUOIiYilewoExayYTdOU2kbfDM9z+v0pkWC+yVzGe1otTuVQvMoicri5nVnfWr9pMufKl2bx7FcFBoZw96UvSMyc7OS0r9fhFZSpVKs+0aePp2LFvzgfMqmde4wf7TnDf6wAyMRHrnu1xmvEJQf3HY9O7Iw8PnCIpLCrj/ZhKhq9hxkXrdGlCyeplmd9zMgD2pRxxKufKpAaGe+CG//4FV+qd5/rJy6ZKS1YqcvyhYzzatRcSEyn0lifFvhxH1PBP0Lq5YOZeklBPw5Bm+x9mY+FRnQSf8ybMmz8yZ3RZMd377TnP4/RpX+rXfYPyFcry05I5eO/az5MnhgsQhQpZsXL1IsaN/Zr79x/kaO404TLIlrVNzx48S/ka5Zm7aS53o+9y5ewVdEmmPb69EjKsNMbr603uy+FRP+VapHQyrtgZFjXzaELS+WMgX6Vv3Mk6NbV2zmsFbJBSRgFIKWMAN2CnEOICMAaoklz2CPCtEOJDwEZKmfSCfbdM7mG6kPx3qrygPFLKJVLKOlLKOtlrCEFkaCTFnR1SHhd3Kk5UWPRztsggsGdzDu04kmsH19iwaGxdUnspijnbEReRflhF5cbV6DiiK/MHzSApIfVlf1o28k4EV45fomSV0qYPnc9EhkbikKZXpbiTPdH/oF4czsV6ERYSgXOanhVnF0ciwiKfKROOc3KPj1arpUjRwsTF3kWn0zH1i7l0bNmLIf1GUcS6CIHXTXtFPTg4FDc3l5THrq7OhKbppX22jFarpWjRIsTExCWXd+KPP5YwcOAobtwwvjfDVJLCozBPUy/MnOxJijCuF/q4+8hEw3CRu+t3YFnlNQAKelTCpo8nZfYso/jYQRTt/Dr2oweYPHNcWDQ2LqlXSm2c7biXwfGifONqtB3xNksGzUo5XlRvV4/AcwEkPHpCwqMnXN7vg3vN10yaVxcRidYx9ZisdbBHF2XcgNTfuwfJr/HDzduwqJj8Grdo91A2+QAAIABJREFUSsJFP+TjeOTjeOKPncSiaiWT5s0vmUOCw3Bzc0557OLqTGiY8fstJCS1zLPvt6f8r17n4cNHVK5cAQAzMzN+X72IP9ZtYeuWnZhKVGiUUW+OvbM90eFZPyav/WEtI94YwYQ+E0BAyM2QF2/0H/coNIZCLqmjTgo52/IoPPXYYV7YEpuKbryxYQLdjn9H8Vplab10NHbVc++cQt6NRtikng8JazvkvZgMy5p5NDEaIqfkXy9LY0iQ/prMDxh6daoBQwBLACnlDGAQUBA4LoSoCCRh/FwsAYQQlsAioFvyfn5+us5Urvpexa20K04lnDAzN6NV5xYc9c7erFStO7diz+bcGSIHcNP3Go7uzti7OaA1N6O+Z2N8vE8ZlSlZpTTvTh/C/EEzuB99L2W5VdFCmFkYOhgLFyvCa7UrEhoQhGLsiu9VXNPVi2PZ2kerzi3Zszl3hsgBnD93CfcyJXEr6YK5uRkd32rH7h37jcrs2XGArr08AXiz0+scO2SoN5YFLSloZXirNWleH51OZzTxgimcPu1LuXKlcXcvgbm5Od27e+Ll5W1UxsvLm759uwHw9tvtU2aMs7YuysaNy5g4cSbHjuVSzxsQf8Ef81IumLs6grkZRdo358He40ZltMVTh5EUbtWAhOt3AAgdM4sbrd7jRuv+RM76hXubdxP1rfFsf6Zw2/c6xd2dsHUrjtZcSy3PRlzwNn7N3Kq402v6IH4eNIsHaY4XsSFRlKtfGY1Wg8ZMS9n6lQi/ZtrjRcLlK5iVcEXr7ARmZhRs04rHB43fexq71BM0y6aNSEweVqYLC6dAzRqg1YBWS4GaNXJlmFx+yHzmzHnKlHWnVCk3zM3N6dqtI9u37TYqs33bHt7pY5h8oMtbb3LggOE5lCrlhlarBaBECRdeK1+GW7cN9WDh4hlcvXqdhT/8muOZ0/L39cfF3QXHEo6YmZvRvFNzjnsff/GGGCZfKGJjuDfHvaI7pSuV5sxB009qk99F+dygaGknCpcojsZcS+nODbizK/V+x8T7j1lbbRgbGoxiQ4NRRJ69zp4B3+bqbHL6OwFo7J0RxRxAa4aZRxN0fqfSlRPFXRAFC6O/dTXXsr1s9FLm+E9eeSmGyQF7gI1CiO+klNHJw+SsgaeDyd97WlAIUVZKeQG4IIRoCFQEzgCVhRAFMDR2WgOHSW34RCUPqesG5Ojscc/S6fTMm/gDs1fNQKPR8Pe6HQT632LAp+9x1defo97HqFCjAlN/mUxh68I0bNOQ/qPfY0Brw8w/Tm6OFHcpju8xUw/DSKXX6fl90i+MXvEFGq2Gw3/sJSQgiC6jehJ44To+u0/TY3w/ClhZ8r9FnwCpU2g7l3PjvekfIKVECMH2xRuNZqFTDPQ6PfMnLmDWqm+S68XODOpFeb5OqRcNGDD6XQa0HgyAYx7UC51Ox+RxM1m+fhEajYb1qzcTcPUGH48bxgUfP/bsOMC6VZv4dtFU9p7czN24e3w4eBwAdvbFWL5+EXq9nvDQSEYP+yJX8n788US2bl2JVqtl+fJ1XL7sz6RJozlz5gLbtnmzbNk6fvvtey5dOkhMTBzvvjsCgGHD3qNsWXfGj/+Q8eM/BKBjx75ERmav9y77ofVEfL0Yt1+ngkbL3T93kXDtNnYj+xF/0Z+H+05QrF9nCrdsgNTp0N+9T9j4uabN9AJ6nZ4Nk37jfys+R6PVcPyP/YQFBNF+VHduX7jBxd1n6Dy+LxZWlgxYNAqA2OAofh48G5/txynfqCrjds4BKbl8wIeLe0w8+YNOT9ycH7CfPxOh0fJw698k3Qyk6Af9SbjsT/yhoxTu+TYFmzYyvMb37hE7xfD1AI/3HqRAnZo4rvoVkMQfO0X84exdxHhVM+t0OsZ8MpmNm5ej1WpYuWI9Vy4HMOGLjzl79gJ/b9/DiuXrWPLLt/ic30ts7F0GvGd4bzVsVIdRo4eSmJSEXq9n9MeTiImOpUHDOrzT+20uXrzC4WOG24CnTJ7Drp37czy/Xqdn8cTFTP19Klqtll3rdnHb/zb9PumH/3l/TnifoHyN8kz8eSKFrQtT//X69B3dl6GvD0VrrmXOn4YZ2x49eMTsD2ej1+X9UKkxX87g1LnzxMXdo3WXvvxvYD+6er48s5pJnZ7jXyynzeqxCI2Ga+sOEOcfjMenXYn2vckd79ybCCZTej1PNv1MwcFfJk+tvQd9+B0s2r6DLuhaSsPI3KMpST6H021ecNg0NA6uUMASqwk/82T9QnT+eXP/k5J14mWZGk8I8R6G4XA64BywEfgOQ4PoOFBXStlCCPED0DK5nB/QX0r5RAgxC+gMBAAJwBYp5TIhxFSgFxAI3AFuSSknZ3Vq7RZur78cL1AWlTGzyesI/8hvgSZto+a4lm5tXlzoJXIrPpfvK8kBIQ9M3BAxAV/3F47CfaksjC+a1xGybaxj5IsLKf9K5YuBeR0h2xrbVsjrCNmy5dzCvI7wj6yqMenFhV4i3Xo/zOsI2VZ49kaTTvSVU5q6ts7x8+NDwXvy5Lm/LD1DSCmXA8ufWbw5g3IjM9l+LIZJFp5d/gWQ7rK0lLL/PwqqKIqiKIqiKP9heTn7W057We4ZUhRFURRFURRFyVUvTc+QoiiKoiiKoigvP9UzpCiKoiiKoiiKks+pniFFURRFURRFUbLsZZmALSeoxpCiKIqiKIqiKFmmhskpiqIoiqIoiqLkc6pnSFEURVEURVGULJOqZ0hRFEVRFEVRFCV/Uz1DLzBdZ53XEbLFzSk2ryP8J3yjL5LXEbJloPZeXkfINp1el9cRsm1FfLG8jpAtiSTldYRss25YKK8jZIswy3/XHBN881+9cNMWzusI/wl9fKfkdYRs0wVfyesIryQ1gYKiKIqiKIryj6yqMSmvI2RbfmwIKUpWqMaQoiiKoiiKoihZ9irNJqcaQ4qiKIqiKIqiZNmrNEwu/w1mVhRFURRFURRFyQGqZ0hRFEVRFEVRlCx7lYbJqZ4hRVEURVEURVH+k1TPkKIoiqIoiqIoWfYqfemqagwpiqIoiqIoipJlejWBgqIoiqIoiqIoSv6meoYURVEURVEURckyNUxOeS6blh6UnvI+aDVErN5D8IKNGZaz69CACr+MwfeNsTz0vY4w01J27jAKVSuDMNMSuX4/wT9kvG1Os2xYl2KfDgeNhoebtnNv+Vqj9YU6tsPmow/QRUQBcP+PzTzcvJ0CtT0oNnpYSjlz95JEfT6VxweO5Eru/MS6RU3cv34fodEQsWY3IZnUC9sODSn/8xguvDGGh+evI8zNKD1rKIWrl0XqJbcm/cq9Y5dyJXOTlg0YN3U0Wq2GP1dt4ZcfVhitr93Ag3Ffj6J85XKMGTKRXV57U9b9tOZ7qteuytmTvgzv+0mO5mrbtgXffjsFrUbDb0vXMHv2QqP1FhYWLF06j1o1qxETE0vvPsO4dSsIgLFjRzCgfy90ej2jRk3E2/tAynYajYYTx/8mODiMLm+9l7J8ypTP6Nq1IzqdjiU/rWDBwt9y7Lm81rw6HSa9i0ar4fS6fRxcvNVofb0+ranfrw1Sr+fJwydsGv8LkdeCKWhTmN6LP8K1elnObTjI1i+X5Vim56ncvAY9Jg1AaDUcWbeHXYs3G61vPbADjXu1Rpek40HMPVaOXUxMcBTlG1ah28TU19SprAu/jpyH765TuZL7KW3FWli+PRiEhsTj3iTs2WC0vkCXQWhfqwaAMC+AKGLNg/Hv5GrGZ2kr1KRA58Gg0ZB4wpvEfX8arbfoNBBt2aoACIsCiMLWPJzYx+S52rRpzty5k9FqtSxdupY5cxYZ57Kw4Ndfv6NWrWpER8fSr99wbt0KwtbWhjVrfqR27RqsXLmeUaMmpWzTrZsnn302Aq1Wy99/72XChOkmy1+luQe9Jg1Ao9VwaN0edizeZPz8BnakSa/W6JN03I+5x7Kxi4gJNnwG2rrY8+6Modi62CElzB8wneigSJNlzYhri+rUm9IPodEQsGY/FxZuzbBcqQ51abnkI7a+OZHo8zdzNeOLfDH9Ww4eOYltMRs2/f5jXscB4IjPZWYu3YheL3mrdX0GdnndaH1IZAxfLl5L7L0HWBe2YvrIvjja2RASGcPoOUvR6/Uk6nS880ZTerRtnEfPQsmOPG0MCSE6AZWllDMyWe8BuEgpt5vo708GHkgp5+TYTjUaykwfzKWeU0gIjab63zOJ2XWKx/5BxsUKWeI0qAP3z/inLLPzbIjGwhzfVqPRFLTA48A8ojYe5ompD7AaDcU++5CI4WPRhUfitGIRjw4eI+nmLaNij7z3EzvrB6NlT874ENZniGE3RYvgvHEF8cdPmzZvfqTRUHr6YC73+oqE0Giqbp9F7M5TPA7IoF4MbG9ULxz6GA7E51uPwszOmoqrvuDim2PBxON1NRoNE2aMYXCPkYSHRLBu5zL27TzEdf/UD9PQ4HAmfPQ1/YelP/H6bdHvFCxoSfd338rxXPPnTePN9u8QFBTK8WPb8fLaxeXLASll3h/wDnGxd6lUuQk9enRi+vQJ9OkzjEqVXqNnj87U8GiFi4sjO/5eS+UqTdHr9QB8OHIQl68EULRIkZR9vfduD0q4uVC1ajOklBQvbpdjz0VoBJ5TBrC07zfcC4tm2JapXPY+S+S14JQyvpuPcnLVHgAqvl6L9hP7svy9mSQ9SWT33A04VnDDsXyJHMv0ory9pgxkft+pxIZFM27LN5z3Pk1Ymrx3/AL5xnMcifEJNOvbhrfG9+XXEd/jf+wS09uPBcDKuhBTDvyA30HfXMmd5glg2W0ojxZPRMZFYzX6W5IunkAffielyJNNv6T8bt60I1q3Mrmb8VlCQ4G3hvB4yZfIu9EU/GgOSX4nkWkyJ2z5NeV388Yd0LiaPrNGo2HevKl06NCHoKBQjhzZipeXN1eupL4P+/fvSVzcXapUaUb37p5MnTqefv2GEx//hK++mkvlyhWoUqV8SnlbWxu++eZzGjbsQFRUDL/88i0tWzZm376cv7gmNBp6TxnId32/JjYshglbvsHX+zSh11KPybf9bjLN8zMS4hNo3rct3cb3Y8mI7wB4/9sRbFvwF5cPn6eAlSUy+RiSW4RGUH/ae+x6ZwaPQmPouH0Kt3ed4W5AiFE5s0KWVHq/HZFnr+Vqvqzq0r4Nvbt24vOvc+407N/Q6fVM//VPfvpiKI52NvQe/x0t6lSlrJtTSplvV27Bs1kdOrWox4mLAcxb7cX0kX0pXqwoK6Z+hIW5GY/in9D1k5m0qFMVB1vrPHxGpqPuGcqAMMjW/qSUWzJrCCXzANpnM0eeNvAK1yzH48AwntwORyYmEbX5MLbt6qYrV/KzdwhZuAn9k4TUhRI0Vpag1aCxtEAmJKF78NjkmS2qVCTpTjC64FBISuLRrn1YNW+U7f0UbN2M+KMnkU+emCBl/la4ZjniA0NT6kX05sMUa1cvXbkSY3sTsmgTMk29KFi+BPcOnQcgKfouursPKVSjrMkzV6tVmTs3gwi6FUJiYhLbN3nT8o1mRmVC7oTi73ctwxOBE4dO8/DBoxzPVa9uTa5fD+TmzdskJiay7o/NeHq2Myrj6dmWlSvXA/Dnn9to1bJJ8vJ2rPtjMwkJCQQG3uH69UDq1a0JgKurM2++2ZrffltjtK8hQ95l6rTvUr5tOzIyOseei5tHOWJuhRN7JwJdoo7zW49RqW1tozJP0hwDLKwKpDSCEx8/4dbpqyQ+ScyxPC/i7lGOyFthRCXnPb31KDXaGh/f/I9dIjHeUH9vnAugmJNtuv3Uat+AS/vPpZTLLZpSr6GPCkVGh4MuiaRzBzGrVj/T8ua1mpF45mAuJkxPU/I19NFhyJjkzD6HMKuS/tjxlFnNZiSdM33munU9jN6H69dvxdOzrVEZT8+2/P67oeftr7+207Kl4Sr5o0ePOXr0FE+exBuVL126JAEBN4mKigFg797DdOnypknylzaqy0mc2noEj7Z1jMpcPXaJhJS67J9Sl53LuaHRarl82HBcfvIoPqVcbrGvWZb7geE8uB2JPlHHzc3HKdmudrpytcZ24+JiL3TxuXecyI46HtWwLlrkxQVzycVrtynhZI+boz3mZma80agm+09dNCpzPSiM+tUMjfh6Vcqx/7RhvbmZGRbmhlPQhMQk9PpXp7GQEWmC//LKv2oMCSHchRCXhRCLgLNAPyHEMSHEWSHEeiFE4eRy7YUQV4QQh4UQ84UQXsnL+wshFiT/3l0IcVEI4SuEOCiEsACmAD2FED5CiJ5CiEJCiN+EEKeEEOeEEJ3T7Ge9EGIrsCt52ZjkcueFEF+lyTxBCHFVCLEbqPBvnn9GCjjZkpDcjQ6QEBqDhZPxleRCVUtTwMWe2N1njJZHex1D/yieur6/UPv0T4T8uIWkuAc5HTEdrYM9uvDU3qekiEi0Dvbpylm1aorTmp+xn/klWsfi6dYXatuShzv3mTRrfmXhZEdCSOpJdEJoNBbOxieJVlVLY+FiR9wz9eLRpUBDw0mroUAJBwpVL0sBl/T/PjnN0cmB0JDwlMfhIRE4OqX/d89tLq5OBAWlXv0MDg7F1cUpXZk7yWV0Oh13797Dzq4Yri7pt3VxNWw7d+5XjB8/NaWX6KkyZdzp3r0Tx49tZ+uWlZQrVzrHnktRx2LcTVMv7oXGYO2YvvFQv18bRh/4jnbjeuM1eUW69bnFxtGW2DR5Y0Ojsckg71ONe7Ti0n6fdMvreDbm1JbcH0qrsbZDH5t6fNbHRSOsM+7pE8WKI2wd0QWcz614GeewtkPGpWaWL8zsgO7aBZPncsnoveTimGkZnU7HvXv3sbMrluk+r1+/RfnyZSlVyg2tVounZ1vc3FxMkt/G0ZYYo7ocg41j5r2+TXq05uL+cwA4lnHm8b2HDPvxUyZum0W38YaharnJyqkYD0NiUh4/DI3Bysn4tbWtUgorZ1uCdqd/DyoZi4iJw8nOJuWxg5014TF3jcpUKOXK7hOGXu09Jy/w8PET4u4/BCAsKpZun86i3bCvGNC59SvbK/SqyYl3bwVgBdAGGAi8LqWsBZwGRgshLIGfgDellE2AzM6mJgHtpJQ1gE5SyoTkZeuklB5SynXABGCvlLIu0BKYLYQolLx9Q+A9KWUrIURb4DWgHobepdpCiGZCiNpAL6Am8DaQvssGEEJ8IIQ4LYQ4vflRNsfXCpF+WdquRCFw/6o/gZOXpStWuGY5pF7PaY/BnK03DJchnhQo6ZiuXK54pvvz8aFjBHv2IeydwcSfPIPd5M+M1mvsbDEvV5r4Y7k7/j/fyKBaGF0EEQL3yQO4/dWydMUi1u4hITSaajtmU2rK+9w/fQWp05kqaZpM6Re9DDdMigzeY/KZ+ppxmcy3bd/+dSIjojh7Lv1JZIECFsTHP6FBw/b8+ttqfl4y91+kN5aV5wJwYqU33zYfxc4Za2gxskuO/f3sympegHpdmlKqehm8l2wxWl60uA0uFUrm/hA5IONKnXF+81rNSPI9AjJ3hz9lSSaZzTyaknT+aK5k/ufvw8yPIXFxd/nwwwmsXLmQPXs2cOtWEElJSf8+bAYy+qjO7HWt36Up7tXLsDO5Lmu0WsrVrcT6aSuY1mkc9iUdaNythUlyZirDcw3j9fUm9+X0lNW5FulVkFEVePalHt2vE6f9rtNj7BzO+F3DwdYardZwOu1kX4wNc8aydf4Ethw4RXTc/VxInTf0Uub4T17JicbQLSnlcaABUBk4IoTwAd4DSgEVgRtSyqetijUZ74YjwDIhxGBAm0mZtsC45P3vByyBksnrvKWUMWnKtQXOYeixqoihcdQU2CilfCSlvAcYf0onk1IukVLWkVLW6WyVvavAT0KjsXBNvWpv4WxLQnjq1Rtt4YJYVSxJlb+mUOvkYorUKk+lZeMoVKMs9m81JW6fDzJJR2L0Pe6dukLhXBgOpYuIMurpMXMoju6ZoUD6u/cg0dDN/mDjdiwqvWa0vlCbFjzedxhy4yQ9H0oIjcbCJfWqo4WzHQlhxvWiYMWSVP7za2qe+JHCtcpTYdl4ClUvCzo9tyYv5UKbT/AfMAMz60LE3wg1eebw0Aic01zpdXRxICIs6jlb5I7goFCjq8Wurs6EhIanK1MiuYxWq8XauigxMbEEBaffNjQknEaN6tCxY1sC/I+z6vdFtGzZmOXL5gMQFBzKxo3bANi06W+qVauUY8/lblgM1mnqRVFnW+5FxGZa/sLWY1RuUyfT9aYWGxZNsTR5iznbcTeDvBUbV+ONEW+xeNAskhKMT2Zrd2yIz86T6JNy/1ihvxuFpljq8VljY4e8F5NhWbOaTUk8m7dD5ADk3WiETWpm8bzMHk1JOncoV3IFZ/ReCo3ItIxWq6Vo0SLExMQ9d7/bt++mWbPOtGjxFgEBN7h2LTDHswPEhsVga1SXbYmLSP+6VmpcjQ4j3mbBoJkpdTkuLJo7fjeJuhOBXqfHZ9cpSlbNuR7jrHgUGkMhl9Re2ULOtjwKT30vmhe2xKaiG29smEC3499RvFZZWi8djV313M2Z3zja2RAWnVpHI6Lv4lDMuHfHwdaa7z59nz9mfcrIdzoAUMSqYLoyZUs4cfbKddOHVv61nGgMPUz+v8DQIPFI/qkspRxIxtfE05FSDgW+AEoAPkKIjPqrBdA1zd8oKaW8/EyOp+W+SVOunJTy6R2mJm16PvC5RsHSzhQo4YAwN8O+cxNidqZOKKC7/4hTVQZwtt4wztYbxv2z/lzuP4OHvtdJCI7CurFhRiBNwQIUqV2ex2luTDaVBL8rmJdwReviBGZmWLVtyeODR43KaOxSD7oFmzUk8eZto/VW7dQQued54HMNyzT1wq5zE2LTzKKlu/+IM1X7c67+UM7VH8qDs/5c7f8ND89fR1PQAk3BAgBYN6uBTNKlm3jBFC6eu0zJMiVwLemMubkZ7bu0Yd/OvD85PHXah3LlSuPuXgJzc3N69uiMl9cuozJeXrvo1687AF27dmDf/iMpy3v26IyFhQXu7iUoV640J0+d44svZlC6TB1eK9+APn3/x759R3iv/4cAbNmyg5YtDPc6NGvWkICAGzn2XIJ9r2Pn7kQxt+JozbVU92zIFW/jYZJ27qlDACu0qkl0YFiO/f3suuV7HQd3Z+yS89bxbMR5b+MJU9yquNN7+mAWD5rF/eh76fZRt1NjTm/Nm9km9bcD0Ni7IGwdQWtmuL/m4sl05YSDK8KqMPrAK3mQ0pj+TgAae2eErYMhs0dTdJcyyFzcFVGwEPpbuZP59Glfo/dh9+6eeHl5G5Xx8vKmb99uALz9dnv27z+a0a6MPJ2gxMbGmg8+6MfSpZldP/13An2v4eDujL2bA1pzM+p6Nsb3mbpcooo7fad/wIJBM43q8k3f61hZF6KwbVEAKjaqSkguHJPTivK5QdHSThQuURyNuZbSnRtwZ9fZlPWJ9x+zttowNjQYxYYGo4g8e509A7596WaTe9lUKVuC26GRBEVEk5iUxI6j52hep4pRmdh7D1KGU/+6cTddWhruOwyPjiM+wXDv2L0Hj/C5ehN3F4fcfQK56FW6ZygnJxs4DiwUQpSTUl4TQlgBbsAVoIwQwl1KGQj0zGhjIURZKeUJ4IQQwhNDo+g+kPbOup3ASCHESCmlFELUlFKey2B3O4GvhRCrpJQPhBCuQCJwEEPv0wwMz90TwxC+nKPTc+PzX6i8ZiJCqyF87V4e+9+hxJhePPC9RuyuzGdaC126g3LfD8dj//cgIGLtPh5dvpVp+ZzMHDP7Bxx+mAlaDQ+3/E3ijVtYD+lPwuWrPD54jCK93qJgs0ag06G/d5/oybNSNtc6O6J1dODJ2bwY9pJP6PQETviFiqsnIbQaItbu4bH/HdzG9OKh73WjhtGzzO2sqbhmEuglCWHRXBs5P3ci63RMGz+HJWvno9Fq2LhmK9ev3mTE2A+45HuZfTsPUdWjEvOWzqKoTRFatG3K8DGD6dzcMA3xis0/UbpcKawKFWTPua1MGjWVI/tP5Eiujz7+gm3bVqPVaFi2fB1+fv58+eWnnDnji5eXN78tXcuyZfO57HeY2Ng4+vT9HwB+fv6s37CV8777SNLp+PCjCenuEXrWrFkLWbF8AR99NJgHDx4xZOiYf/0cntLr9GydtIz+K8YhtBrO/rGfiIBgWo/qRvCFG1zZfZYG77WlbOOq6JOSeHz3IRs+WZyy/aeH51GgcEG05mZUalubpf1mGM1El9P0Oj1rJ/3GyBUT0Gg1HP1jH6EBQXQc1YPbF65zfvcZuo7vSwErSwYvGg1AbHAUiwcbjhe2bsUp5mxPwHE/k2V8/hPQE//nj1gN/Sp5murd6MNuY/FmH3S3A1IaGea1mpF4Nnd6WF5Ir+fJxiUUHDzZMB34qT3ow+9g0a43ujvX0PklZ67ZlCSfw7kWS6fT8fHHE9m6dSVarZbly9dx+bI/kyaN5syZC2zb5s2yZev47bfvuXTpIDExcbz77oiU7a9ePUKRIkWwsDDH07MdHTv25cqVAObOnUy1apUBmD79e65dM83Ju16nZ/WkX/l4xQTDNPF/7CMkIIhOo3py68J1fHefptv4flhaWTJ0keGrAaKDo1g4eCZSr2f9tJV8smoSCMHtizc4tHaPSXJmRur0HP9iOW1Wj0VoNFxbd4A4/2A8Pu1KtO9N7nifffFOXgJjvpzBqXPniYu7R+suffnfwH50fWZCnNxkptUy/v2uDJv2E3q9ni4t61OuhDML1/1NlbIlaFGnKqf9rjF/9TYQgtqVyvD5QEOD/0ZwOHNXbEYIgZSS9zxb8FpJ09zzpuQs8bzxuy/cWAh3wEtKWTX5cStgJlAgucgXUsotyY2b2UAUcBJwlFL2EUL0B+pIKUcIIf7CMJRNAHuAj4FiGBo25sA3GIa1fQ80Si4XKKXsmHY/abJ9BAxKfvgA6CulvC7wWz3FAAAgAElEQVSEmAC8C9wCggC/502tfdS5a97fJJENbq7PH4Lwsip5Onc/SP6t4y5v53WEbBmoM30PY07zj83dK605YaxL87yOkC0xmOZ+DFOa1cX0M2zmJGGWuzfW5wT7BRldY3y59XPKfFbAl1HjxAIvLvSS6eM7Ja8j/CO64Lzv4c0OyxrtszSiKq+Vta+V4+fH16PO5slz/1c9Q8k9PVXTPN5LxpMS7JNSVhSGuykXYphcASnlMmBZ8u8ZnV3GZLC/IRnkSNlPmmXzgHkZlJ0GTMvwCSmKoiiKoiiK8lwvw4RKOSW3LlkNTp704BJgTU4PTVMURVEURVEURcmmXPmCUinld8B3ufG3FEVRFEVRFEUxHfkyfu3AP5T/BjMriqIoiqIoiqLkgFzpGVIURVEURVEU5dWgf4XuGVKNIUVRFEVRFEVRsuzfzEb9slHD5BRFURRFURRF+U9SPUOKoiiKoiiKomTZqzRMTvUMKYqiKIqiKIryn6R6hl4gWlrkdYRssXuQv/LmV9G6/PXt4eGPY/M6wn/Ct+FH8jpCtoxxbJLXEbJNW9o2ryNkjyb/XXNM0p/O6wjZVjCfXdvt1vthXkf4z9C6VszrCK+kV+meIdUYUhRFURRFUZ5LF3wlryNkm2oImY7+FWoM5a9LKYqiKIqiKIqiKDlE9QwpiqIoiqIoipJlUk2goCiKoiiKoiiKkr+pniFFURRFURRFUbLsVZpAQfUMKYqiKIqiKIryn6R6hhRFURRFURRFybJX6UtXVWNIURRFURRFUZQsU8PkFEVRFEVRFEVR8jnVM6QoiqIoiqIoSpapL11Vnqt4yxq0PDyXVse+o9yITpmWc+5YD8+wNVjXKGO0vKCrHW9eX0qZYR1MHTWFVZPalP77Z0rv/BXbwd3TrS/61uuUPbqWUhsXUGrjAqy7tTNarylkRZkDK3GYOCy3Iuc7xVvWoPmRubQ4/h1lR2ZeL5w61qNDePp6YelqR7sbpq8XrV5vyvEzOzjp482Hoz5It97Cwpxfln7PSR9vdu5dT4mSrkbrXd2cCQw5x/CR76cs+2DYuxw67sXhE9sY8r/3/nXGtm1bcPHiQS77HWbMmOEZZLRg1arFXPY7zJHDWylVyi1l3dixI7jsd5iLFw/Spk1zo+00Gg2nTu5k08bl6fb5/XdfExvj/6+zA7Rp0xxf371cvHiATz9N/56xsLBg5coFXLx4gIMHN1GypCF/q1ZNOHLEi1OndnLkiBfNmzdK2Wby5DEEBBwjMtIvRzI+T7nm1flwz2w+2j+XpsM8062v06c1w3fMYNj26QxcP4ni5Qx1pGyTqgzdOpXhO2YwdOtUSjesbPKsAJpSlbF8dzKW703BrE67dOvNm3XHsvcEw8+7X1Fw6LeG7dzKpy7vPYGCw39AW6ZGrmQ+ciuaLr8fo9PKo/x2JjDd+jmH/Om59gQ9156g88qjNF1yIGXd90cC6Lr6OG+vOsbMg1dzdDhLu7YtuHTxIFf8DjM2k/fe6lX/b+++46uo0j+Of54UmvSWUKWjYEEXBBW7YgNRQSyIiGV/6iquHXRtKPayuruu4iooVrADghQFRKT33kEgAYQEkJry/P6YuclNclPA5M5M8rxfL15wZyb4Jc5M5sw55zn/ZcWyaUzPde098vDdrFg2jaVLptIl7Np7d8irbN28kAXzJ+X4u046qQ3Tpn7H/HkT+ebrYVSpUrnY/h0Ax59zMo9Nep3HJ7/BhXd2z7P/vFsv59EJr/LI2Jf428f/oEaD2ln7rhjQm4HjX+HRia/R48mbizVXQWJbn0Klh/5NpUfeIv68q/PsL9etHxXve42K971GpYf/wzGDPsraV+G2xzlm0EdU6PdY1PL+smA5V9z7HF3vGcx730zMs3/rjl3cPugtej74Erc+9W+27UzN2n7dI6/S66GXuer+Fxgx/peoZS7IP557jbMvv44rb7zD6yimGJXJniERaQKcoaqfFPtfHiOc+Hw/ZvR6jgNJOzlr3GCSx8/lj1VbchwWe0wFmt56CSlzV+f5K9o+3YftPy4o9mj5iokh4Ym/sfmWR0nb9jvHjnyDP36cyeG1m3IctnfsFLY/89+If0Xte/twYPbiaKQNphih7Qv9mNnrOQ5u3UnnHwaz7YfI50WT2yKfF20G9WHHpJI9L2JiYnjx1Sfp2b0fW7ckM2Hyl4z7fhKrVq7NOqb3TdeQmrqb09pdxFU9LufJpx/itn5/z9r/7POPMmnC1KzPxx3fkj59e9HlvJ4cPpzGiK/eY8IPk1m3duNRZ3zzjcFcetn1bN6cxIxfv2f06PEsX579Pbul3/Wkpuzm+Dad6dXrCp577jF6976T449vybW9unNyu/OpXz+BcWM/o03bs8jMzASg/z23sXzFaqpWqZLjv/mXU0+ievVqR5U3Uv5//vMZLr+8N1u2JDNt2neMHj2RFSuy899887WkpOzmhBPO4ZprujF48AD69LmbnTtT6NnzFpKSttOmTStGjRpO8+YdAfj++4m8/fYHLF48uVhy5kdihK6DbuaDG59nT/Iu/u+7Z1gxYR471mSfy4u/nc6cj50H29YXnsolj/dmeN+X2Jeyl49vfYW921Op26ohN334CK90uqdE8yJCuXOv59DXb6B/pFDhuoFkrFuE7krKOiRt6kjS3D/HnXwuMXUaAZC5eRUHPxns7ChfiYo3P0PGppJvbGZkKi9MWcl/u59CQuXy9B4xm3Oa1qZ5zezGwINntcr686cLf2Pl73sBWJCUyoKk3Yy4zjkv+n05h7lbUmnfsMafzhW69i4Ju/ZGRbj2UlJ2c5x77T3/3GPc4F57vXp15yT32vth7Gcc7157H344grfeGsrQoW/k+O+98/bLPPLIM0z9eQY3972WBx+4kyefevlP/zvAOY+vGXQL/7lxMKnJO3nwu+dZMmEOyWHn8eZlG3i520DSDh6m840X0X1gb4bd/QZNT21Fs/ateeGShwD4+xeDaNGpDWtmlPC5ITGUv+qvHBjyFLp7JxX7v0T60lno9s1ZhxweNTTrz/FnXkZM/eyXammTvyEtvjzxnfK+ECgJGZmZPPfel7zzjztIqFWdGwa+zrntT6B5w8SsY14b/h3dzm7PFeeexswlq3njk9E8d8+N1KlRlQ+fvZdy8XHsP3iIHg+8yLntT6BuzeK5Dx+tKy+7iBt6XMGjz7ziaQ4/sDlDwdcEuKEk/uIap7Rg3/pk9m/ajqZlsPWbX0m8uH2e4457pBdr3hpFxqG0HNsTL2nPvk3b2btyc56vKSkVTmpF2qatpG1OhrR09n4/hcoXdCry15dv24LYWjXY98u8EkwZbNVPbcH+9ckc2Jh9XiRckve8aD2gF+v+M4rMgznPi4RL27N/Y8mfF6e2P4n16zayccNvpKWl8fWXY7j08gtzHHPp5Rfw2adfA/DdN+M469zTw/ZdyMYNv7FyxZqsba1aN2fu7IUcOHCQjIwMpv8yi8u7XnTUGU/rcApr125g/fpNpKWl8fmIb+nWLecP927dujB8+EgAvvxyDOef19ndfjGfj/iWw4cPs2HDb6xdu4HTOpwCQIMG9bj00gt4//1Pc/xdMTExvPDC4wwY+OxRZw7XoUM71q7dwAb3ezxy5Ci65vp+dO16ER9//CUAX331PeeeeyYACxcuJSlpOwDLlq2ifPnylCtXDoBZs+aTnLy9WDIWpGG75uzauI2U33aQkZbB4lEzOK7LX3Icc+iPA1l/LlepPKGiQ8lLN7J3u/Pmd/uqzcSVjye2XMm+k4tJaILu3o7u+R0yM0hfNZvYZifle3xsqw6kr5qTd3vLU8nYsBTS0yJ8VfFasm0PjapVpGG1isTHxnBxywQmr/s93+PHrd7GJS0TABCEwxmZpGVmcjgjk/RMpWalcsWSK/e1N2LEt1yR69q7Ip9r74puFzMin2vv52kz2ZWSmue/17pVc6b+PAOAiZN+5qqrLiuWfwfAse1asGPjNnb+tp2MtAzmjZrOiV065Dhm9a9LSTt4GIAN81dTPbEWAIoSXz6euPg44srFExsXy94du4stW35iGrck8/ckdNc2yEgnfcE04tqelu/xce3OIn3Bz1mfM9YshkMH8j2+uC1Zs4lGibVpmFCb+Lg4LjnjFCbPXpLjmLWbk+l4otOwP61tCybPcfbHx8VRLt65NxxOSycz0x8P3u3bnUi1qlUKP7AMyESL/ZdXSlVjSERuEpFFIrJQRIaLyDAReVNEpovIOhHp6R76AnCWiCwQkfuKM0OFejU4sHVn1ueDSTupUC/nG7mqJzShYv2abJ8wP8f22ErlaX53N1a98mVxRipUXEJt0pJ2ZH1OT/6duIRaeY6rclFnmnz7FvXfeIy4RHe4gAh1H7mdHS//L1pxA6lCYq7zYutOKiTmPS8qFHBerI7CeVGvXgJbNydnfd66NZl69RPyHLNls/NWPSMjgz179lKzZg0qVapI//tu5+UX/p3j+OXLVnP6me2pUbM6FStW4MIu51C/Yb2jzli/QSKbN2/N+rxlSxIN6ifmOeY395iMjAx2795DrVo1aFA/79fWb+B87auvPs3Agc9m9RKF/O2ufowePb7YGhr16yeyeXN2r8SWLUk0aJAY4Zjs/Hv27KVWrZzny1VXXcbChUs5fPhwseQqqioJNdkddi7vSdpF1YS8vQ6n9bmIv095jS4DrmfMU3mHHba59DSSlm4k43B6ieaVyjXQvSlZn/WPVKRy5F4SqVKTmGq1yfxtRZ59ca3ak75qdonlDLd930ESqlTI+pxQuTw79h2KeOzWPQfYuucAHRrWBODketVo36AGF70/jS5Df+aMxrVoVvOYYskVfl0BbN6SRP0iXnv160f42lznfW5Ll66kW7cuAPTs0ZVGDesXy78DoHpCTVLDzuPUpJ1Ui3Aeh3TqdR7LJjs98xvmrWbVr0t5ZvY7PDvrHZZPXci2tVvy/driIlVroqnZjWLdvROplvdnNYBUr4PUrOs0gDyyfVcqibWqZ32uW6sa23blbDS2PrYBE2cuBGDSrMXsO3CI1L37AEj+PYWeD77ExXc+Tb/uF3jeK2RKr1LTGBKRtsBjwPmqejJwr7urHtAZ6IrTCAIYAPysqu1U9fUIf9dfRWSOiMwZt39N7t2FBcm7TXPubzuoD0uf/ijPYa0f6sm6IWPJ2B/5h15U5Wqg//HTTNZdcDMbut/FvunzSXzhAQCq39CVfVNmk56c/1tLQ+TzItf+NoP6sPypvOdFq4d6sv6d6JwXEiFn7q7wiMegPPJof97+zzD27dufY9/qVWt58/V3+fKboYz46j2WLl5BRvrRPwAfdUbN/2svu+xCdmz/nXnzcz441KuXQI8eXfn3f94/6ry5RbxFFCl/9jHHH9+SZ58dwN13Dyy2XEVVlPwAs4ZP4J/n3M/4Fz7jnHuuzLGvTssGdBlwHd89+l5JxSxYPsM7Ylu1J331vLz7K1UlplYDMjcujUK4I/PD6m1c0LwusTHO/5hNqftZn7KPH24+kx9u7syszbuYuyWlkL+laEri2ivIbX+9n7vuuJmZM8ZSpcoxHD5cjL1y+eSMpP2VnWl8UnN+HPIdALWPTSCxRQOe6HQnj3e6g1ZnnEDz044vvmz5iXzxRTw0rl1n0hf9CpoZcX80RIqW+59wf58rmLNsLb0efoW5y9ZQt2Y1YmOdR9PE2jX44pWHGfXmY3w3ZTY7U/dGIbUpKlUt9l9eKU1zhs4HvlDV3wFUdZd78/1GVTOBZSKSUNBfEKKqQ4AhAKMSrz+i/zsHt+6iYv3sNzUV6tXiYHL2D6K4yhWo2roRZ3z1BADl61TjtA8eZFbfV6h+Sgvqde1Im8dvIL5qJTRTyTyUxob3xx9JhCOWvu134uvVyc6YWJv07TtzHJMZdhPaPXIcdR50JsdXbHc8Ff/Sluo3dEUqVUDi48ncd5DfXxuKyXYwKdd5UT/veVHluEZ0Cp0XdavR/sMHmXPTK1Q/tQWJXTty3OM3EF/NOS8yDqWxsQTOi61bk6kfNp67fv1EkpO25zmmQcN6JG3dRmxsLFWrViFlVyqntj+Zbt0v5slBD1GtWlUyNZODhw7z3pCP+Hj4F3w8/AsAHnvifrZuTeZobdmcRMOwN8QNGtRja9K2PMc0alifLVuSiI2NpVq1quzalcLmLXm/NmnrNrp2u4iuXbtwySXnU6FCeapWrcIHw97ks8+/pXnzJqxY7kzerVSpIsuXTeP4Np2PPv+WZBqG9Yw1aFCPrVtz5XdzbtmSnPU93rUr1T0+kc8/H8Jtt93P+vU55/VFw57kXVQLO5er1quZNfQtkiWjfqXbs/34mnec4xNrcv079/HV/W+Tsqnkh/XpHylIlew3/lK5Orovct64Vu05PPmziNsz1i6AzOg8WNY9pgLb9h7M+rztj0PUOaZ8xGN/WL2NAee0zvr807odnJhYjUru8MMzj63F4m17+EuDPz9nKHRdhTRsUI+kIl57W7ZE+Npc531uK1eu5dLLnRHtLVs247JLL/jT/4aQ1OSdVA87j6vXq8We7Xkbja3OPJEud1/Nm9c+Rbrbi3nSxaexYf5qDrsvqJZPXkCTU1qydtbyYssXie7eiVTPLuIg1Wqhe3ZFPDauXWcOfT2kRPMUJqFWdZJ3Zl9r23fupm6NnL07dWtW43X3eWL/wUNMnLmIKpUq5jmmeaNE5q1Yy0Wd2pV8cFPmlJqeIUDI058BwKFcx5So1AVrOaZZIhUb10HiY6l/5ekkj5+btT997wF+aPtXJnXoz6QO/UmZt4ZZfV9h98J1TL/y6azt694dy+o3vynxhhDAwcWriD+2PvENEiA+jiqXncMfP87IcUxsnewfpJXP78Thtb8BkPTQS6w7vy/rLriZHS/9jz3fTrSGUAS75+c9L7b9kPO8mNDmr/zUoT8/dehP6tw1zLnJOS9+7f501vb1Q8ay9o1vSqQhBDB/7mKaNWtC42MbEh8fz1U9Lmfc9zkrPI37/keuu/4qAK648hJ+nvIrAN0uuYFTTzyfU088n3f++wH/fOVt3hvi9HTVru0M4WnQsB5dr+jCV1+MPuqMs+csoEWLpjRp0oj4+Hiu7dWd0aNzfj9Gjx5Pnz5OVcQePS7np8m/ZG2/tld3ypUrR5MmjWjRoimzZs/nH/94gabN2tOyVSd633gXP/30C31v7s/YsZNo1PgUWrbqRMtWndi//8CfaggBzJmzkBYtmnLssU7+a67pxpgxE3IcM2bMRHr37gHA1VdfxpQp0wGoVq0qX301lCeeeIlff807ryUatixcR80miVRvWIfY+FhO7NaJFRPm5jimZpPs906tzm/Hzg1O47dC1UrcOPRBJr70OZvmFk9lvsJkbtuIVK+LVK0FMbHEtepAxrpFeY6T6glQ4Rgyk9bl2RcbxSFyAG0TqrBp93627DlAWkYmP6zexrlNa+c5bkPKPvYcSufkxOwHzMQqFZi7JYX0zEzSMjKZtzWVpjUqFUuu3Nder17dGZXr2huVz7U3avR4ekW49gpSp47TWBERHh14L+8MGV4s/w6ATQvXUqdJIjXd8/jUbmeweELOa6ph2yZc99xtvHvbS/yxc0/W9pStv9OiYxtiYmOIiYulecfj2bam5Of5Zv62mpja9ZAadSE2jrh2nclYlve8lDr1kYqVydy4ssQzFaRt80ZsStrB5u07SUtPZ9z0+ZzTvm2OY1L2/JE1NPm9rydy5XlO4Y9tO1M56A4B3vPHfhasXE+T+nWj+w8wBcpULfZfXilNPUOTgK9F5HVV3SkiNQs4di9QIjPgNCOTJY8Oo9OnA5HYGH77dDJ/rNxM64d7krpgPdvGzy38L4m2jEy2P/NfGr73LMTEsvvL8Rxes4la9/Th4JJV7PtpJjX6dKfyeZ3QjAwyd+8leeCrXqcOFM3IZMnAYZz2mXNebHbPi1YP9yR14Xq2/+CP8yIjI4MBDw1i5NfvERMbyyfDv2DlijUMeKw/C+YtYdzYH/n4w5G8NeRlZi2YQGrKbm7vV/i0u6Ef/ZuaNauTlpbOww88ze7UPYV+TUEZ7/37Pxgz5hNiY2IY9sHnLFu2iieffJC5cxcyevQE3h/6GcOGvcnyZdNISUml9413AU7RgZFfjGLRwp9Iz8ig/72P5ZkjVNIyMjK4774nGDXqQ2JjY/nggxEsX76axx+/n3nzFjFmzESGDfuc999/nSVLppCSkkqfPncDcMcdfWnevAkDBtzDgAFOFbZu3fqwY8dOBg8eyLXXdqdSpYqsWTODoUM/Y/DgfxZ7/syMTMY8MYybPnyEmNgY5o2Ywo7VWzj/vh5sWbyelRPn0bFvF5qfeQIZ6Rkc3L2Prx54G4CON3Wh5rEJnNP/Ks7p7zSoP+zzAvt2Hv35UCjN5PDkzyl/ZX+QGNKXTUd3JRHfqRuZ2zaSsd5pGMW17kBGhAaPVKmFVKlJ5ua8FR5LSlxMDI+c3Zq7vp1PpkL3NvVoXqsyb81cS5u6VTm3qdOTP27VNi5umZBjCNqFzesye/Muen06E4AzGtfinKZ1Iv53jlTo2vs+17X31JMPMifs2vtg2JuscK+9G8KuvS++GMXiCNfeR8P/wzlnn07t2jXZsG4OTw96haHDPuO6a6/kzjtvBuCbb75n2AefF8u/A5zz+Isn3ueuDx8lJjaGGSMmk7x6M5fddw2bFq9jycS5dB94I+UqVaDfW849LmXL77x7+8ss+H4Grc44gQE/vAKqLJ+ygCWTolBAKDOTQ9+8S8Xbn4SYGNJmTSJz22+U63I9GZvXZDWM4tudRfqCaXm+vOKdg4mp2wDKV6DSY+9yaOR/yFhVchVK42JjGXhLD+4c/A6ZmZlceV5HWjSqx38+H0vb5o04t/0JzFm2hjc/GQMi/OX4Zjx6qzO1e92Wbbz64beICKpK327n0rJx8c0ZO1oPPfkCs+cvIjV1DxdceSN33dqHHt2iU53Pb9TDggfFTUpTaTwR6Qs8BGQAoVdOo1X1C3f/H6paWUTigXFAbWBYpHlDIUc6TM5rrarnP1zFz1qvGOt1hCMyJuF6ryMckb4H/NHYOhK7D+7zOsIRi4sN1vulhxL+XC+XFwbcF7BKTjHBG4BR9YFvvY5wxO6qH6xz+blrolv4pDjE3Xi71xGOWGyD47yOcMTiazcr8VFMxeGYSk2K/fl43/4Nnvzbg/WTuxCq+gGQt2xR9v7K7u9pQPENPjbGGGOMMaaM8HJYW3EL3isrY4wxxhhjjCkGpapnyBhjjDHGGFOyStM0G+sZMsYYY4wxxpRJ1jNkjDHGGGOMKbLSVE3OGkPGGGOMMcaYIrNhcsYYY4wxxhgTcNYzZIwxxhhjjCky6xkyxhhjjDHGmICzniFjjDHGGGNMkZWefiGQ0tTNFTQi8ldVHeJ1jqIKWl4IXuag5QXLHA1BywuWORqClhcsczQELS8EL3PQ8pqC2TA5b/3V6wBHKGh5IXiZg5YXLHM0BC0vWOZoCFpesMzRELS8ELzMQctrCmCNIWOMMcYYY0yZZI0hY4wxxhhjTJlkjSFvBW28adDyQvAyBy0vWOZoCFpesMzRELS8YJmjIWh5IXiZg5bXFMAKKBhjjDHGGGPKJOsZMsYYY4wxxpRJ1hgyxhhjjDHGlEnWGDLGGGOMMcaUSXFeByhrROReVX2jsG1+IiINgGMJO19Udap3iSITkRhgkaqe4HWWIyUiZwBNyPk9/tCzQIUQkZqqusvrHEUVtLwAIvIKMFRVl3qdpShE5EVVfaSwbX4jIonAaTgLqs9W1WSPIxVKRE4FOuNk/kVV53kcqUAiUh24ibz3uP5eZSotROTqgvar6lfRylJUInJ/QftV9bVoZTkSQXx+M0VjBRSiTETmqeqpubbNV9VTvMpUEBF5EbgWWAZkuJtVVa/wLlX+RORjYKCqbvI6S1GJyHCgObCAnN9j3z4oiMhqnLxDgbHq8xtJ0PICiMhtQD+ch8ehwKequtvbVPnL5962SFVP8ipTYdzv8RPAj4AA5wCDVPV9T4MVQESeAK4BQg+5VwIjVfVZ71IVTESmAzOAxUBmaLuqfuBZqAhEZC9OAzMiVa0axThFIiJDC9itqnpL1MIUkYg86f6xNdAB+M793A2Yqqq3eRKsEEF7fjNFZ42hKBGR64EbcN7m/Ry2qwqQoaoXehKsECKyEjhJVQ95naUoRORHnJvrLGBfaLtfG28AIrIcaBOEB/QQERHgQuAWnLfqnwPDVHWVp8HyEbS84USkNU6j6HrgF+BdVf3J21TZRORO4C6gGbA2bFcVnF6LGz0JVgTu/e0MVd3pfq4FTFfV1t4my597vzhFVQ+6nysC81T1eG+T5S/SQ6SficggIBkYjtNI7g1UUdWXPA1WyojIeKCHqu51P1fBadhf4m2ynIL6/GaKzobJRc90IAmoDbwatn0vsMiTREWzDogHAtEYAr4G/gUEaUjUEiAR5/wIBLfhNgGYICLnAR8Bd4nIQmCAqv7qacBcgpY3RERigePcX78DC4H7ReT/VPU6T8Nl+wQYCzwPDAjbvjcAQxM349yDQ/YCv3mUpag2ABWAg+7n8uRshPrRcBG5HRhN2M8SH58fF6tqx7DP/xWRmYCvG0MicjnQFuf8AEBVB3mXqFCNgcNhnw/jDKX0m6A+v5kissZQlKjqRmAjcLrXWY7QfmCBiEwi5w8xvw7hSgDuBeYB7wM/+LXHRURG4QzJqAIsE5FZ5Pwe+7k3qxZwI9AH2AbcgzPUoR0wEmjqXbq8gpYXQEReA64AJgHPqeosd9eLbo+GX6iqbhCRv+XeEYC5WluAmSLyLc612B2YFZrT4NO5C4eApSIyASfzRcA0EXkTfHtvPgy8DDxG9jA0xelN9KMMEekNfIaT83qyhzD7koi8DVQCzgP+B/TEGSHhZ8Nxrrevcb7PVwG+mysb4Oc3UzNQmIkAABa7SURBVEQ2TC7K3MmOLwJ1cbrfBedhwndjkQFEpG+k7X4b6x3OHRLVBWdoUXtgBPCeqvrq7amInFPQflWdEq0sR0pEVuH8IBuqqptz7XtEVV/0JllkQcsLICK3AJ+p6v4I+6r5Zf6QiIxW1a4ish7ngUbCdquq+vWBN3zuQkSq+nS0shRVfvfkED/em0VkLdBRVX/3OktRiEgT4A3gTNwiFcDfVXWDd6kKFpqfF/Z7ZeArVe3idbaCuMVAznI/TlXV+V7mKUjQnt9M0VljKMpEZA3QTVWXe52lqESkHNDK/bhSVdO8zFMUInIyTmPoEuAnoBMwQVUf9jRYBEGswiUi4tcet0iCljdERGoALck57MV3lRyNKYiIfAdcF6lhb4qHiMxU1Y4iMgO4GtgJLFHVlh5HK5CIdAZaqupQEakDVFbV9V7niiSIz2+maGyYXPRtC9KFJCLnAh/gjFMXoJGI9PXrA5mI9Af64syv+B/wkKqmuWW3VwO+awzhDHPJ3fC5NMI2P6ktIg+Td3z6+d5FKlDQ8oYqnd0LNMSphNcJ+BXwZWYRORNYoKr7RORG4FTgn36u7Cgi7XGGbuVeOsDPFfC6As+QnTkIb6czcIZb/0QAhluLSCvgv0CCqp4gIicBV/i5Yh8w2i1h/jLOMHHF+RnoW27PbHucqnJDceYnf4TTI+dHgXp+M0VnPUNRJiJv4EyW/4acPxR8txYAgIjMBW5Q1ZXu51Y4JX7/4m2yyNwqQO+5Y3xz7zveTzeyQqpwTVfV3p4EKwK3CtDnwIPAHTgN0B1+7c0KWl4AEVmMUxlxhqq2E5HjgKdV9VqPo0UkIouAk4GTcIYkvgdcraoFDgf1kjv36iHylnzOc//wC/ft9NXA4qD0dgZtuLWITME5L94JlU0WkSUakDXsRKQ8UMEvQ2nzIyILgFNwqiGGvs++LccftOc3U3TWMxR9VXGKEoSP41Wy14zwm/hQQwhAVVeJSLyXgQqiqk8UsM83DSFXkKtw1VLV98RZcG4KMMV9gPCroOUFOKiqB0UEESmvqivcMtt+la6qKiLdgTfc73eB81t8YIeqflf4Yb7yG87wp0A0hMC/jZ4CVFLVWc700yzpXoUpChG5KcI2Xy/eDRx27xkKICLHeB2oEEF7fjNFZI2hKFPVfl5nOEJzROQ9nDe94FTkmuthnlLDfWu3G7jeLaGcgHNNVhaRyn4eXgSE5o0lueVct+IM5/KroOUF2OwOe/kGpyR4Ck5uv9orIgNx7hFnu+e0b1+cuJ4Ukf/hVOwLypveh4Hv3cZ8eGY/Vr4DIKy4Rg4+Lq7xu4g0x80sIj3x/9IHHcL+XAG4AGe4nJ8bQyNE5B2gult6/RbgXY8zFSQGuFdVUyFrTuerBX+JCQIbJhdlIlIBuJW8cxd8t0o0ZHW3/w1nsTEBpgJvaUAWYQ0CEbkbeAqn5HNoqI76dagAZM1b+BlohLOuU1WcIVy+fMsetLy5uZUHqwHjVPVwYcd7QUQScRYmnK2qP4tIY+BcP7+ZFpGPcNZwWkrOa8+X92PIGvL5B3mH9vmu8l2IOKXtQyoA1wA1C+rJ95KINAOGAGcAKcB64EY/V5PLTUSqAcPVx0s0AIjIRTg9LYKzFMYEjyPlS0Tmh4bzFbTNBI81hqJMREYCK3AeGgbhrGy9XFXv9TRYEYhITaChqtoiY8XInQPQUVV3ep3FeM+9zvLlxyGUbi/QDxqwldhFZLGqnuh1jiMhInNUtb3XOf4sEZmmqp29zlEQd9hWjKruLfRgn3GHsy9S1eO9zhJJEO8Z4izSfa6qprifawJTgnYPMXnZMLnoa6Gq14hId1X9QEQ+AX7wOlR+RGQyzsKPcTgVrXaIyBRVvd/TYKXLbzjD5XxPRP5FhOEuIX6rDhW0vK65ZK/X0xjnzbQA1YFN+HCBWFXNEJH94qP1j4pohoi0UdVlXgc5AhNFpIuqjvc6SFG5a8mExOBUEKviUZxCiUgC8BxQX1UvFZE2wOmq+p7H0fIl2Yt4g/M9boOzxp4vBfSe8SowXUS+wPle9wIGexvJFAdrDEVfaO5CqoicACQDTbyLU6hqqrrHLfM7VFWfdKtGmeKzDpgsImPw/xyAOe7vZ+L8sP3c/XwN/pxLFrS8qGpTyFpR/jtV/d79fCng57eoB4HFIjIB2Bfa6NMGZ0hnoK87p+UQ2WWqfTtEFWfY8sMichg4TDBKa79K9oN6Os5SDdd4lqZww3BKPT/mfl6Fc+/wbWMIeCXsz+nARs21wLQPBeqeoaofisgcnOUNBKdaZpBepJh8WGMo+oa4k+7+AXwHVAYe9zZSgeJEpB7OG5DHCjvYHJVN7q94fD7hPFQVSkRuBs5TdwFe98Hdd2+qg5Y3lw6qekfog6qOFZFnvAxUiDHuryC5xOsAR0pVfdujUoBLgR44L/5Czx3X4QwV96PaqjrCLQiCqqaLSIbXoQoxBzigqpnuEhinisg29fci6YG7Z7iNH2sAlTLWGIq+Se5406k468sgIr4b9hJmEM4wvmmqOtudWLra40ylzffAo+R8UFD8+6AAUB9nmEto/kpld5tfBS0vOBWt/oGzCKHiVGnz7bwyd9hvRaBxeDl+P1PVjSLSGWipqkNFpA7OueFb4tR77g00VdVnRKQRUE9VZ3kcrSDfAKk41c0OepylKPa5RR9C1eQ64f+hzFOBs9yXrZNwGkfX4pwrvhTEe4YpnayAQpSJyDxVPTXXtrnq00VMTckTZ+HHB4ElBGfhx344FfB+cjedAzzl1/VE8sn7tKoO8ypTYdzJuU8CZ7ubpuJk9l0BBQAR6YYzVKecqjYVkXbAID9XsxKRJ3Hmr7RW1VYiUh8YqapnehwtXyLyX5z7xPmqerz78DteVTsU8qWekQAtWApZc5z+BZyAc1+uA/T0c/Gg0LOFiNwDVFTVl/xe6SyI9wxTOlnPUJSIs3p8W6CaiFwdtqsqYSW2/SZopcADaoeqjvI6xJFw36KPBTq6mwaoarKXmQoStLyQVTXO91UmwzwFnAZMBlDVBT7v9Qa4CjgFp8cCVd0qIn4fhtbRfeidD6CqKSJSzutQhZguIieq6mKvgxSFqs5zy9m3xpkbstLnw83A6TQ8Hacn6FZ3m9+f8Z4iePcMUwr5/UIpTVoDXXEqQnUL274XuN2TREUzHKcU+MWElQL3NFHpE5iFH0XkOFVdEVYd6jf39/oiUl9V53mVrSAiMshd0+Rb93OMiHysqr4dQpKrOlTIbpzhL++oqt+GG6Wr6m5nFFcWvw89OKyqKiKh4VDHeB2oCNLcssShzHUI61H2ExFZjJMzDugnIusIQKEK9yXgXTgFNhT4WUTe9uE1F+5eYCDwtaoudYe0/1TI13gtiPcMUwpZYyhKVPVb4FsROV1Vf/U6zxEIVCnwgOqHs/BjPGELPwK+awwBD+A03iOtuq04VXb8qLGIDFTV58VZSHgkbm+Aj63DGZ7zqfv5WpyFeVvhrNLex6Nc+VkiIjcAsSLSEugPTPc4U2FGiMg7QHURuR24Bed762dvAl8DdUVkMNAT/xbh6ep1gKP0Ic6Lyn+5n6/HeTHo2wp4qjoVZyht6PM6nGvQz4J4zzClkM0ZijIReQl4FjgAjANOBv6uqh95GiwfIjJLVU8Tkak4b8qSgVmq2szjaKWGBHDhx6BxJ51/DCwGzgPGqurr3qYqmIhMVdWzI20TkaWq2tarbJGISCWcipNZq8kDz/j5bbqIvAhMJGfmC1X1EU+DFcIddn0BTuZJqmq99cVIRBaq6smFbfMTt4fwYfIOaffrC6rc9wzIvmccyv+rjCl+1hiKMhFZoKrtROQq4ErgPuAnv95k3fWFvgROwll3oTLwhKq+7WmwUkRE3gVeD8J6Bbnmu+Xht6F9knOxx3jgHeAX3PVC/DqsD0BElgMXq+om93NjYJyqtvH7xOigyKegzSK/Dt8CEJHhqtqnsG3m6InIMOBtVZ3hfu4I9FXVuzwNVgARGY+zFtKDwB1AX5z5qL5t2IvINao6srBtxpQ0awxFWeiNrvsA/KWqjvP7GydTstyH3uaA7xd+FJGhBexWvxXWEJGCxsyrz9+aXga8DazFOSea4vTOTgZuV9V/epcuL3dtkwfJWSLel2+mReROnO9lM5zvb0gV4BdVvdGTYEWQuwEnInHAIlVt42GsUsW9J7fGWf8NoDHOXNlM/HtvnquqfwlvzIvIFFU9x+ts+cnnZUSebcaUNJszFH2jRGQFzjC5u9yubT8PI0kAngPqq+qlItIGOF1V/bwSd9AEZuFHVe3ndYYjoarneZ3haKnq9+44+uNwGkMrwoac+aoh5BqJ03j7H+D3BSo/AcYCzwMDwrbv9XHp8oE465FVFJE9YbvSgCHepCq1AnNPDhOqdpckIpcDW4GGHubJl4hcClwGNBCRN8N2VQXSvUllyjLrGfKAuy7EHlXNcMfMVvVrmV+3HPFQ4DFVPdl9Cznf5riUbSJSjZxr4EzBWR/ClwsTBrVRLyJnkLen5UPPAhVAbL20qBCR54GXcApphOaGqDuB3hQDEWkObFbVQyJyLs4w8Q9VNdXbZPkTka7Az0AjnMIPVXHWfvPdsg0icjLQDqdC7RNhu/biTBtI8SSYKbOsMeSBgD3gzFbVDuFzFELznrzOZrwjIl/iLEYYWmS1D3CyqhY4p8grQWzUi8hwnOGTC8juaVFV9VWFKHEWhwWnEtR2nEpn4SXifdnTElRu1bv+OG/9FwCdgF/9OBwxqERkAc5ivE1wJvV/h7Mw72Ve5iqIiHwA3BtqsLnX5St+G7ocTkTiQ+s3uS+JG6mPF7Y1pZcNk4uy/B5wcEp5+tE+EalF9poWnXDWOjFlW3NV7RH2+Wn3AcKvaqvqCHeoEaqaLiJ+H8rVHmij/n9jNRfn/hBaLOShsH2KMy/HFJ/+QAdghqqe51aWe9rjTKVNpnuPuBr4p6r+S9xFbn3spPCeK1XdJSJ+L7IyQUSuwHkWXQDscOc53e9xLlPGWGMo+oLygBNyP85bseYi8gvOuic9vY1kfOCAiHRW1WkAInImzjw4vwpio34JkAgkeR2kIKraFJyFKnOX0XYXrzTF66CqHhQRRKS8Oosgt/Y6VCmTJiLXAzeRvUh6vId5iiJGRGqEhpi5PUN+f8arpqp73Kq1Q1X1SRGxniETdX6/UEqjQDzghGkOXIozDrkH0BE7bwzcCXzgzh0CSMEp5epXQWzU1waWicgscg47u8K7SAWaDuSuAhVpm/lzNotIdeAbnDfrKTiT5U3x6YdTnnqwqq4XkaaAL9cCDPMqMF1EvsB56dMLGOxtpELFiUg9nKyPeR3GlF02ZyjK3FK/7YBAPOCEynSKSGecCeivAo+qakePoxkPiUh5nMZEc6A6Ti+LquogT4MVwJ0n1BpnONfK0Fh1vxKRiCVxVXVKtLMUREQSgQY4D4s3kD1crirOWi3HeZWttHPPkWo4608d9jqP8ZZbGOZ8shfj9fXadSJyDfA4ME1V7xKRZsDLuYZgG1PirDEUZUF5wAkJFU5wKxgtVtVPbMFHIyLjgFRgHmFllFX1Vc9CFcCt2ng/cKyq3u6WrG6tqqM9jhZ4ItIXuBlnCPCcsF17gWF+W4jXmPyIyGLcobSR+HF9IWPMn2eNIVMgERkNbAEuBP6CMy9kli0SW7aJyBJVPcHrHEUlIp/jTPS/SVVPEJGKOBW4fFcVUUSmqWpnEdlLzgez0GK8VT2KViAR6aGqX3qdw5ijJSLHun/8m/v7cPf33sB+P/d8B4mIPKyqL4nIv4jQ+PRbxUxT+lljKEoC/IBTCWcBusWqutod33uiqo73OJrxkIgMAf6lqou9zlIUIjJHVdvnKhG/0Br1xctd7LEt2evfYA+QJmhE5BdVPbOwbeboiEg3VR3l9irnoaofRNpuTEmxifBRoqqd3d+reJ3lSKjqfuCrsM9JBKf4gylmYcNI4oB+IrIOZ+5bqFHv12Ekh93eoFA1ueaEzdnzIxG5NfeisCLygqoO8CpTQUTkbaAScB7wP5w5ZbM8DWXM0TkmV7XMM4BjPM5UaoQWgrVGj/ELawwZY45EV68DHKUngXFAIxH5GDgTZ56Ln/UUkYOq+jGAiLxFWI+LD53hFltZpKpPi8irhL1IMSZAbgXeD6uWmQr4dvHSoBKRUeQdJrcbZ+7hO7lL9RtTUmyYnDGm1HMXO16MM+dtHTBTVX/3NlXB3J6s74D3ccrb71LVv3ubKn8iMlNVO4rIDOBqYCewRFVbehzNmKMiIlVxnpP8viZZIInIGzjLHHzqbroWSAYqAlVVtY9X2UzZYj1DxpiyYCjQGbgIaAYsEJGpqvqGt7HychdLDLkNZz2ZX4BBIlJTVXd5k6xQo931b17GqTKoOMPljAkUd+mAHkATnLVwAJv/VgJOUdWzwz6Pcu/LZ4vIUs9SmTLHeoaMMWWCiMQCHXDmtNwBHPDjGjgisp68RVZCVFWbRTnSEXMfJivYG3UTRO7SAbtxKlD6fumAoBKR5cDFqrrJ/dwYZ82sNraEh4km6xkyxpR6IjIJZwL0r8DPQAdV3e5tqshUtamIxACnq+ovXucpKrfy5ANAY3ctp8Yicpat5WQCqKGqXuJ1iDLgAWCaiKzFeenTFLhLRI4BrLiCiRrrGTLGlHoi8jrOOlmHcIacTcVZZ+iAp8EKICK/qurpXucoqiCt5WRMQYK2dECQub3Ix+E0hlZY0QTjhRivAxhjTElT1fvcselX4UzsH4pTIcrPxotIDwlNWPC/5qr6EpAG4DY0g5LdmHCdgbkislJEFonIYhFZ5HWo0sbtTX4IuFtVF+BU+wxqxVITYDZMzhhT6onI3cBZOL1DG3EqtP3saajC3Y8ztC9DREINC98u0EwA13IyJh+Xeh2gjBiK05sc6gHfDIwEbGitiSprDBljyoKKwGvAXFVN9zpMUQRtgWaCuZaTMVlEpKqq7gH2ep2ljGiuqteKyPXg9CYHqCfclCLWGDLGlHqq+rLXGY6GiFwBhErPTvZ5MYKbgDHAFzhrOd3r97WcjMnlE5yFpefi9HDmqOSIU5bfFB/rTTa+YAUUjDHGh0TkBZxS4B+7m67H6dka4F2q/InI+ThzLc7CXcsJ8OVaTsYUxF2keSrws6qu8DpPaeT2APUBbgXaAONxe5NVdbKH0UwZZI0hY4zxIXfCdjtVzXQ/xwLzVfUkb5PlLyhrORlTkAgN+/k4DSNr2BcjEZkLdAE64fTCzbDeZOMFGyZnjDH+VR3Y5f65mpdBChOktZyMKYiq/igiU8jZsD8BsMZQ8ZoBNFPVMV4HMWWbNYaMMcafngPmichknLemZwMDPU1UsEU41fpOAHYDqe5aSb5dy8mYSKxhHzXnAf8nIhuBfWRXzPRt77cpnWyYnDHG+JA7b2E1kAJsAmaqarK3qQonIpWBfsCDQKKqlvc4kjFHJIiLNAeRiBwbabuqbox2FlO2WWPIGGN8KGgFCSKs5RSagP6jp8GMOUrWsDembLDGkDHG+FSQChKIyEM4DaDArOVkTCTWsDembLHGkDHG+FCEeQvTbN6CMSXPGvbGlC1WQMEYY/zJChIY44GgLtJsjDk61jNkjDE+ZvMWjDHGmJJjPUPGGONDEeYtvI8zXM4YY4wxxcQaQ8YY408VgdeweQvGGGNMibFhcsYYY4wxxpgyKcbrAMYYY4wxxhjjBWsMGWOMMcYYY8okawwZY4wxxhhjyiRrDBljjDHGGGPKJGsMGWOMMcYYY8qk/wem35UaK12ydwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c5a1af37f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#构造数据相关系数热点图\n",
    "plt.subplots(figsize=(15, 8))\n",
    "\n",
    "#设置热图颜色\n",
    "#cmap = sns.cubehelix_palette(start = 1.5, rot = 3, gamma = 0.8, as_cmap = True)\n",
    "#sns.heatmap(data_corr, annot = True, cmap = cmap)\n",
    "\n",
    "sns.heatmap(data_corr,annot = True)\n",
    "\n",
    "# Mask unimportant features\n",
    "sns.heatmap(data_corr, mask = data_corr < 1, cbar = False)\n",
    "\n",
    "#存储热图\n",
    "plt.savefig('bikeshared_coor.png' )\n",
    "#打印热图\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "workingday and casual = 0.54\n",
      "season and cnt = 0.54\n",
      "season and registered = 0.57\n",
      "temp and casual = 0.58\n",
      "atemp and casual = 0.58\n",
      "weathersit and hum = 0.58\n",
      "temp and registered = 0.70\n",
      "atemp and registered = 0.70\n",
      "casual and cnt = 0.71\n",
      "temp and cnt = 0.77\n",
      "atemp and cnt = 0.78\n",
      "instant and season = 0.83\n",
      "season and mnth = 0.83\n",
      "registered and cnt = 0.93\n",
      "temp and atemp = 1.00\n",
      "instant and mnth = 1.00\n"
     ]
    }
   ],
   "source": [
    "#打印相关系数高的数据对及相关程度\n",
    "#确定相关系数较高的标准\n",
    "threshold = 0.5\n",
    "\n",
    "# List of pairs along with correlation above threshold\n",
    "corr_list = []\n",
    "size = data_corr.shape[0]\n",
    "\n",
    "#找到相关性较高的数据对\n",
    "for i in range(0, size): \n",
    "    for j in range(i+1,size): \n",
    "            if (data_corr.iloc[i,j] > threshold and data_corr.iloc[i,j] < 1) or (data_corr.iloc[i,j] < 0 and data_corr.iloc[i,j] < -threshold):\n",
    "                corr_list.append([data_corr.iloc[i,j],i,j])  #存储相关数据\n",
    "\n",
    "#相关系数由低到高排序          \n",
    "s_corr_list = sorted(corr_list,key=lambda x: abs(x[0]))\n",
    "\n",
    "#Print correlations and column names\n",
    "for v,i,j in s_corr_list:\n",
    "        print (\"%s and %s = %.2f\" % (cols[i],cols[j],v))\n",
    "        "
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "从上述数据和热点图中可以看出，部分数据之间完全相关，如：天气和温度、温度和体感温度。同时也存在高度相关的数据，如：温度和租车人数、体感温度和租车人数等。所以可以初步判断，该数据集中存在数据冗余，在进行训练数据之前要对数据集进行处理，抛弃冗余数据。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c5a1e8c7b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c5a1ec6cc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c5a22e7898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c5a1e34780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c5a240d780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c5a22807f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c5a2225710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c5a23bdc50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c5a1d33550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c5a374ce10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c5a352ffd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c5a20c8cf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c5a20ed358>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c59a532400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c5a2492eb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c5a1bb35f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for v,i,j in s_corr_list:\n",
    "        sns.pairplot(data, size = 6, x_vars = cols[i],y_vars = cols[j] )\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "从上面散点图可以看出，租车人数与气温、体感温度、非注册用户个数和注册用户个数基本呈正线性相关，这对我们后面预测租车人数提供了参考。\n",
    "我们也可以看出体感温度和气温几乎呈完全正线性相关，我们在后续对数据进行训练的时候，就需要考虑这两个特征是否只需要保留其中之一。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
